Question

Simplify (root 5+root 7)^2

Answer 1

(√5+√7)^2

=(√5)^2 + (√7)^2 + 2×√5×√7

=5+7+2√35

=12+2√35

=2(6+√35)

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Answer 2

Answer:

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

Now put the identity (a+b) ^2=a^2 +b^2 +2ab

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

$5 + 7 + 2( \sqrt{35} )$

$12 + 2 \sqrt{35}$

$2(6 + \sqrt{35} )$

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