Question

find the value in step by step solution. ​

Answer 1

Answer: 2 sqrt of 5

Step-by-step explanation:

Answer 2

Step-by-step explanation:

QUESTION:-

$\boxed{ \large \red{ \frac{30}{ \sqrt{20} + \sqrt{5} } }}$

solution:-

using rationalization method to solve

$\implies \frac{30}{ \sqrt{20} + \sqrt{5} } \times \frac{ \sqrt{20} - \sqrt{5} }{ \sqrt{20} - \sqrt{5} } \\ \\ \implies \frac{30( \sqrt{20} - \sqrt{5}) }{( \sqrt{20} ) {}^{2} - ( \sqrt{5} ) {}^{2} }$

using the formula (a-b)(a+b)=(a²-b²)

$\frac{30 (\sqrt{20} - \sqrt{5}) }{20 - 5} \\ \frac{30( \sqrt{20} - \sqrt{5} )}{15} \\ \implies2( \sqrt{20} - \sqrt{5} )$

$\boxed{ \large \orange{answer =2( \sqrt{20} - \sqrt{5} ) }}$