1/(-061)(001)(sqrt{2(3864)})(-2/5(4)^5/2) eching

$$\frac { 1 } { ( - 061 ) ( 001 ) ( \sqrt { 2 ( 3864 } ) } ) ( - \frac { 2 } { 5 } ( 4 ) ^ { 5 / 2 } )$$

Baholash

$$\frac{16\sqrt{483}}{147315}\approx 0,002386968$$

Yechim qadamlari

-61 hosil qilish uchun -61 va 1 ni ko'paytirish.

$$\frac{1}{-61\sqrt{2\times 3864}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

7728 hosil qilish uchun 2 va 3864 ni ko'paytirish.

$$\frac{1}{-61\sqrt{7728}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Faktor: 7728=4^{2}\times 483. \sqrt{4^{2}\times 483} koʻpaytmasining kvadrat ildizini \sqrt{4^{2}}\sqrt{483} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 4^{2} ning kvadrat ildizini chiqarish.

$$\frac{1}{-61\times 4\sqrt{483}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

-244 hosil qilish uchun -61 va 4 ni ko'paytirish.

$$\frac{1}{-244\sqrt{483}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

\frac{1}{-244\sqrt{483}} maxrajini \sqrt{483} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{483}}{-244\left(\sqrt{483}\right)^{2}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

\sqrt{483} kvadrati – 483.

$$\frac{\sqrt{483}}{-244\times 483}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

-117852 hosil qilish uchun -244 va 483 ni ko'paytirish.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

\frac{5}{2} daraja ko‘rsatkichini 4 ga hisoblang va 32 ni qiymatni oling.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{2}{5}\right)\times 32$$

-\frac{64}{5} hosil qilish uchun -\frac{2}{5} va 32 ni ko'paytirish.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{64}{5}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{483}}{-117852} ni -\frac{64}{5} ga ko‘paytiring.

$$\frac{-\sqrt{483}\times 64}{-117852\times 5}$$

Surat va maxrajdagi ikkala 4 ni qisqartiring.

$$\frac{-16\sqrt{483}}{-29463\times 5}$$

-147315 hosil qilish uchun -29463 va 5 ni ko'paytirish.

$$\frac{-16\sqrt{483}}{-147315}$$