Question

(125/0.05) ½ find the value ​

Answer 1

$\sf\huge\bold{Answer:}$

Given :

${(125/0.05)}^{ ½ }$

To find :

Solution by simplifying the term

Solution :

$⟶ ( \frac{125}{0.05} ) {}^{ \frac{1}{2} } = \sqrt{ \frac{25}{0.05} }$

$= \sqrt{\frac{5 \times 5 \times 5}{0.01 \times 5}}$

$= \sqrt{\frac{25}{0.01} \times \frac{5}{5} }$

${=}$$\sqrt{ \frac{25}{0.01} }$ ${}$$\displaystyle \sqrt{{ \cancel{ \frac{5}{5} }}}$

$= \sqrt{ \frac{25}{0.01} } \times \sqrt{1}$

$= \sqrt{ \frac{25}{0.01} } \times 1$

$= \sqrt{ \frac{25}{0.01} }$

$= \sqrt{ \frac{5 \times 5}{0.1 \times 0.1} }$

$= \frac{5}{0.1}$

$= 5 \times 10$

$= 50$

Hence, on simplifying ${(125/0.05)}^{ ½ }$ we get 50 as answer.