Question

.Find the square root of 12+2√35

Answer 1

it's not the answer but u can understand the process through this example!!!

Answer 2

The square root of $12+2\sqrt{35}=\sqrt{7} +\sqrt{5}$

Step-by-step explanation:

We have,

$12+2\sqrt{35}$

To find, the square root of $12+2\sqrt{35}=?$

∴ $12+2\sqrt{35}$

$=7+5+2\sqrt{7}.\sqrt{5}$

$=\sqrt{7}^2+\sqrt{5}^2+2\sqrt{7}.\sqrt{5}$

$=(\sqrt{7}+\sqrt{5})^{2}$

[ ∵ $(a+b)^{2}=a^{2}+b^{2}+2ab$]

∴ The square root of $12+2\sqrt{35}=\sqrt{(\sqrt{7}+\sqrt{5})^{2}}$

=$\sqrt{7} +\sqrt{5}$

Hence, the square root of $12+2\sqrt{35}=\sqrt{7} +\sqrt{5}$