Question

Find the squre root of 8+2root15 ?​

Answer 1

Answer:

$\sqrt{8+2\sqrt{15}} = (\sqrt5 + \sqrt3)$

Step-by-step explanation:

Given,

8 + 2√15

$= 5 + 2 +2\sqrt{5\times3}\\\\=(\sqrt5)^2 +( \sqrt{3} )^2 + 2\sqrt5\sqrt3\\\\=(\sqrt5+\sqrt3)^2$

Then, $\sqrt{8+2\sqrt{15}} = (\sqrt5 + \sqrt3)$