Question

Simplify (√5+√2)^2
What is the answer

Answer 1

Answer:

=5+2+2✓10

=7+2√10 ( answer) .

Answer 2

$\tt \red{ (\sqrt{5} + \sqrt{2} {)}^{2} }$

$\tt using \: (a + b {)}^{2} = {a}^{2} + 2ab + {b}^{2} , \\ \tt expand \: the \: expression$

$⬇⬇⬇⬇$

$\tt \red{5 + 2 \sqrt{10} + 2}$

$\tt \red5 + 2 \sqrt{10} \red{ + 2}$

$\tt add \: no.$

$⬇⬇⬇⬇$

$\tt \red 7 + 2 \sqrt{10}$

$\tt \red{Solution}$

$\tt 7 + 2 \sqrt{10}$

$\tt \red{Alternate \: Form}$

$\tt ≈ 13.32456$