sqrt{frac{1+408*1610^-19/2*16710^-27left(310^8right)^2}2*167{10}^-27{left(3{10}^8right)}^2}{2} সমাধান কৰক

$$\frac{ \sqrt{ \frac{ 1+408 \cdot 16 { 10 }^{ -19 } }{ 2 \cdot 167 { 10 }^{ -27 } { \left(3 { 10 }^{ 8 } \right) }^{ 2 } } } 2 \cdot 167 { 10 }^{ -27 } { \left(3 { 10 }^{ 8 } \right) }^{ 2 } }{ 2 }$$

মূল্যায়ন

$$\frac{3\sqrt{13046875000000008517}}{125000000000000}\approx 0.000086689$$

সমাধান পদক্ষেপসমূহ

2 আৰু 2 সমান কৰক৷

$$167\sqrt{\frac{1+408\times 16\times 10^{-19}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

6528 লাভ কৰিবৰ বাবে 408 আৰু 16 পুৰণ কৰক৷

$$167\sqrt{\frac{1+6528\times 10^{-19}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

-19ৰ পাৱাৰ 10ক গণনা কৰক আৰু \frac{1}{10000000000000000000} লাভ কৰক৷

$$167\sqrt{\frac{1+6528\times \frac{1}{10000000000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\frac{51}{78125000000000000} লাভ কৰিবৰ বাবে 6528 আৰু \frac{1}{10000000000000000000} পুৰণ কৰক৷

$$167\sqrt{\frac{1+\frac{51}{78125000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\frac{78125000000000051}{78125000000000000} লাভ কৰিবৰ বাবে 1 আৰু \frac{51}{78125000000000000} যোগ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{2\times 167\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

334 লাভ কৰিবৰ বাবে 2 আৰু 167 পুৰণ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{334\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

-27ৰ পাৱাৰ 10ক গণনা কৰক আৰু \frac{1}{1000000000000000000000000000} লাভ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{334\times \frac{1}{1000000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\frac{167}{500000000000000000000000000} লাভ কৰিবৰ বাবে 334 আৰু \frac{1}{1000000000000000000000000000} পুৰণ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

8ৰ পাৱাৰ 10ক গণনা কৰক আৰু 100000000 লাভ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times \left(3\times 100000000\right)^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

300000000 লাভ কৰিবৰ বাবে 3 আৰু 100000000 পুৰণ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times 300000000^{2}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

2ৰ পাৱাৰ 300000000ক গণনা কৰক আৰু 90000000000000000 লাভ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{167}{500000000000000000000000000}\times 90000000000000000}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\frac{1503}{50000000000} লাভ কৰিবৰ বাবে \frac{167}{500000000000000000000000000} আৰু 90000000000000000 পুৰণ কৰক৷

$$167\sqrt{\frac{\frac{78125000000000051}{78125000000000000}}{\frac{1503}{50000000000}}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\frac{1503}{50000000000}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{78125000000000051}{78125000000000000} পুৰণ কৰি \frac{1503}{50000000000}-ৰ দ্বাৰা \frac{78125000000000051}{78125000000000000} হৰণ কৰক৷

$$167\sqrt{\frac{78125000000000051}{78125000000000000}\times \frac{50000000000}{1503}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\frac{78125000000000051}{2348437500} লাভ কৰিবৰ বাবে \frac{78125000000000051}{78125000000000000} আৰু \frac{50000000000}{1503} পুৰণ কৰক৷

$$167\sqrt{\frac{78125000000000051}{2348437500}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

ভাজকৰ \sqrt{\frac{78125000000000051}{2348437500}} বৰ্গমূলটো বৰ্গমূলৰ \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}} ভাজক হিচাপে পুনৰ।

$$167\times \frac{\sqrt{78125000000000051}}{\sqrt{2348437500}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

উৎপাদক 2348437500=3750^{2}\times 167৷ গুণফলৰ \sqrt{3750^{2}\times 167} বৰ্গমূলটো বৰ্গমূলৰ \sqrt{3750^{2}}\sqrt{167} গুণফল হিচাপে পুনৰ লিখক। 3750^{2}-ৰ বৰ্গমূল লওক৷

$$167\times \frac{\sqrt{78125000000000051}}{3750\sqrt{167}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

হৰ আৰু লৱক \sqrt{167}ৰে পূৰণ কৰি \frac{\sqrt{78125000000000051}}{3750\sqrt{167}}ৰ হৰৰ মূল উলিয়াওক।

$$167\times \frac{\sqrt{78125000000000051}\sqrt{167}}{3750\left(\sqrt{167}\right)^{2}}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\sqrt{167}ৰ বৰ্গমূল হৈছে 167৷

$$167\times \frac{\sqrt{78125000000000051}\sqrt{167}}{3750\times 167}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

\sqrt{78125000000000051} আৰু \sqrt{167}ক পূৰণ কৰিবলৈ, সংখ্যাবোৰ বৰ্গমূলৰ তলত পূৰণ কৰক।

$$167\times \frac{\sqrt{13046875000000008517}}{3750\times 167}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

626250 লাভ কৰিবৰ বাবে 3750 আৰু 167 পুৰণ কৰক৷

$$167\times \frac{\sqrt{13046875000000008517}}{626250}\times 10^{-27}\times \left(3\times 10^{8}\right)^{2}$$

-27ৰ পাৱাৰ 10ক গণনা কৰক আৰু \frac{1}{1000000000000000000000000000} লাভ কৰক৷

$$167\times \frac{\sqrt{13046875000000008517}}{626250}\times \frac{1}{1000000000000000000000000000}\times \left(3\times 10^{8}\right)^{2}$$

\frac{167}{1000000000000000000000000000} লাভ কৰিবৰ বাবে 167 আৰু \frac{1}{1000000000000000000000000000} পুৰণ কৰক৷

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times \left(3\times 10^{8}\right)^{2}$$

8ৰ পাৱাৰ 10ক গণনা কৰক আৰু 100000000 লাভ কৰক৷

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times \left(3\times 100000000\right)^{2}$$

300000000 লাভ কৰিবৰ বাবে 3 আৰু 100000000 পুৰণ কৰক৷

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times 300000000^{2}$$

2ৰ পাৱাৰ 300000000ক গণনা কৰক আৰু 90000000000000000 লাভ কৰক৷

$$\frac{167}{1000000000000000000000000000}\times \frac{\sqrt{13046875000000008517}}{626250}\times 90000000000000000$$

\frac{1503}{100000000000} লাভ কৰিবৰ বাবে \frac{167}{1000000000000000000000000000} আৰু 90000000000000000 পুৰণ কৰক৷

$$\frac{1503}{100000000000}\times \frac{\sqrt{13046875000000008517}}{626250}$$

নিউমাৰেটৰ সময়ক নিউমাৰেটৰৰে আৰু ডেনোমিনেটৰ সময়ক ডেনোমিনেটেৰে পূৰণ কৰি \frac{1503}{100000000000} বাৰ \frac{\sqrt{13046875000000008517}}{626250} পূৰণ কৰক৷

$$\frac{1503\sqrt{13046875000000008517}}{100000000000\times 626250}$$

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে 501 সমান কৰক৷

$$\frac{3\sqrt{13046875000000008517}}{1250\times 100000000000}$$

125000000000000 লাভ কৰিবৰ বাবে 1250 আৰু 100000000000 পুৰণ কৰক৷

$$\frac{3\sqrt{13046875000000008517}}{125000000000000}$$