Question

The value of $=\sqrt{1\frac{7}{9}}$ is equal to

• A. $\frac{4}{3}$
• B. $\frac{5}{3}$
• C. $\frac{7}{3}$
• D. $\frac{8}{3}$

Answer 1

The correct option is A

$\frac{4}{3}$

The given expression is $\sqrt{1\frac{7}{9}}$

$=\sqrt{1\frac{7}{9}}$

$=\sqrt{\frac{16}{9}}$

$=\frac{\sqrt{2\times 2\times 2\times 2}}{\sqrt{3\times 3}}$

$\sqrt[2]{2\frac{2^4}{3^2}}$

$=\frac{2^2}{3}=\frac{4}{3}$