Question

If √2 = 1.414 then find the value of (√50+√72) please solve ​

Answer 1

Given:

$\sqrt{2}=1.414$

To find:

The value of $\sqrt{50}+\sqrt{72}$.

Solution:

We have,

$\sqrt{50}+\sqrt{72}$

It can be rewritten as

$=\sqrt{2\times 25}+\sqrt{2\times 36}$

$=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}$        $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$=5\sqrt{2}+6\sqrt{2}$

$=11\sqrt{2}$

Putting $\sqrt{2}=1.414$, we get

$=11(1.414)$

$=15.554$

Therefore, the value of given expression is 15.554.