Question

simplify: (underroot 5+underroot2) square​

Answer 1

Answer:

$7 + 2 \sqrt{10}$

Step-by-step explanation:

$( { \sqrt{5} + \sqrt{2} )}^{2} = \sqrt{ {5}^{2} } + \sqrt{ {2}^{2} } + 2 \sqrt{10}$

$= 7 + 2 \sqrt{10}$

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Answer 2

Answer:

using identity : (a+b)²

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

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

$= 5 + 2 \sqrt{10} + 2$

the total ans will be 7+2√10