sqrt{(-1/4)^2}*sqrt{(1/3)^2}=1/4*1/3 eching

$$\sqrt { ( - \frac { 1 } { 4 } ) ^ { 2 } } \times \sqrt { ( \frac { 1 } { 3 } ) ^ { 2 } } = \frac { 1 } { 4 } \times \frac { 1 } { 3 }$$

Tasdiqlamoq

Yechim qadamlari

2 daraja ko‘rsatkichini -\frac{1}{4} ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\sqrt{\frac{1}{16}}\sqrt{\left(\frac{1}{3}\right)^{2}}=\frac{1}{4}\times \frac{1}{3}$$

\frac{1}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{1}{4}\sqrt{\left(\frac{1}{3}\right)^{2}}=\frac{1}{4}\times \frac{1}{3}$$

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{1}{4}\sqrt{\frac{1}{9}}=\frac{1}{4}\times \frac{1}{3}$$

\frac{1}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{1}{4}\times \frac{1}{3}=\frac{1}{4}\times \frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{1}{3} ga ko‘paytiring.

$$\frac{1\times 1}{4\times 3}=\frac{1}{4}\times \frac{1}{3}$$

\frac{1\times 1}{4\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{12}=\frac{1}{4}\times \frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{4} ni \frac{1}{3} ga ko‘paytiring.

$$\frac{1}{12}=\frac{1\times 1}{4\times 3}$$

\frac{1\times 1}{4\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{12}=\frac{1}{12}$$

\frac{1}{12} va \frac{1}{12} ni taqqoslang.

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