sqrt{(12sqrt{3})^2+36^2} eching

$$\sqrt { ( 12 \sqrt { 3 } ) ^ { 2 } + 36 ^ { 2 } }$$

Baholash

$$24\sqrt{3}\approx 41,569219382$$

Yechim qadamlari

\left(12\sqrt{3}\right)^{2} ni kengaytirish.

$$\sqrt{12^{2}\left(\sqrt{3}\right)^{2}+36^{2}}$$

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\sqrt{144\left(\sqrt{3}\right)^{2}+36^{2}}$$

\sqrt{3} kvadrati – 3.

$$\sqrt{144\times 3+36^{2}}$$

432 hosil qilish uchun 144 va 3 ni ko'paytirish.

$$\sqrt{432+36^{2}}$$

2 daraja ko‘rsatkichini 36 ga hisoblang va 1296 ni qiymatni oling.

$$\sqrt{432+1296}$$

1728 olish uchun 432 va 1296'ni qo'shing.

$$\sqrt{1728}$$

Faktor: 1728=24^{2}\times 3. \sqrt{24^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{24^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 24^{2} ning kvadrat ildizini chiqarish.

$$24\sqrt{3}$$