sqrt{{left(135sqrt{3}right)}^2+435^2} eching

$$\sqrt{ { \left(135 \sqrt{ 3 } \right) }^{ 2 } + { 435 }^{ 2 } }$$

Baholash

$$30\sqrt{271}\approx 493,862328995$$

Yechim qadamlari

\left(135\sqrt{3}\right)^{2} ni kengaytirish.

$$\sqrt{135^{2}\left(\sqrt{3}\right)^{2}+435^{2}}$$

2 daraja ko‘rsatkichini 135 ga hisoblang va 18225 ni qiymatni oling.

$$\sqrt{18225\left(\sqrt{3}\right)^{2}+435^{2}}$$

\sqrt{3} kvadrati – 3.

$$\sqrt{18225\times 3+435^{2}}$$

54675 hosil qilish uchun 18225 va 3 ni ko'paytirish.

$$\sqrt{54675+435^{2}}$$

2 daraja ko‘rsatkichini 435 ga hisoblang va 189225 ni qiymatni oling.

$$\sqrt{54675+189225}$$

243900 olish uchun 54675 va 189225'ni qo'shing.

$$\sqrt{243900}$$

Faktor: 243900=30^{2}\times 271. \sqrt{30^{2}\times 271} koʻpaytmasining kvadrat ildizini \sqrt{30^{2}}\sqrt{271} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 30^{2} ning kvadrat ildizini chiqarish.

$$30\sqrt{271}$$