sqrt{(16sqrt{3})^2-(8sqrt{3})^2} eching

$$\sqrt { ( 16 \sqrt { 3 } ) ^ { 2 } - ( 8 \sqrt { 3 } ) ^ { 2 } }$$

Baholash

$$24$$

Yechim qadamlari

\left(16\sqrt{3}\right)^{2} ni kengaytirish.

$$\sqrt{16^{2}\left(\sqrt{3}\right)^{2}-\left(8\sqrt{3}\right)^{2}}$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\sqrt{256\left(\sqrt{3}\right)^{2}-\left(8\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\sqrt{256\times 3-\left(8\sqrt{3}\right)^{2}}$$

768 hosil qilish uchun 256 va 3 ni ko'paytirish.

$$\sqrt{768-\left(8\sqrt{3}\right)^{2}}$$

\left(8\sqrt{3}\right)^{2} ni kengaytirish.

$$\sqrt{768-8^{2}\left(\sqrt{3}\right)^{2}}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\sqrt{768-64\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$\sqrt{768-64\times 3}$$

192 hosil qilish uchun 64 va 3 ni ko'paytirish.

$$\sqrt{768-192}$$

576 olish uchun 768 dan 192 ni ayirish.

$$\sqrt{576}$$

576 ning kvadrat ildizini hisoblab, 24 natijaga ega bo‘ling.

$$24$$

Omil

$$2^{3}\times 3$$