Question

simplify the following
$( \sqrt{5} + \sqrt{2} )^{2}$
​

Answer 1

Given:-

→(√5+√2)²

$\rule{200}{1}$

To Find:-

→The Expanded form of (√5+√2)²?

$\rule{200}{1}$

AnsWer:-

→(√5+√2)²=(a+b)²

→(a+b)²=a²+b²+2ab

→(√5+√2)²=(√5)²+(√2)²+2×(√5×√2)

→(√5+√2)²=5+2+2×√10

→(√5+√2)²=7+2√10

$\rule{200}{2}$

Answer 2

Answer:

${( \sqrt{5} + \sqrt{2} )}^{2} \\ = {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ { \sqrt{5} }^{2} + 2 \sqrt{5} \sqrt{2} + { \sqrt{2} }^{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 2 \sqrt{10 } + 7 = 13.3245553$

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