Question

simplify(root2+root5)2=
​

Answer 1

Step-by-step explanation:

(√2+√5)²=(√2)²+(√5)²+2(√2)(√5)

=2+5+2√10

=7+2√10 answer

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Answer 2

Answer:

$\huge \purple{\sf{ \underline{{♤question \ \: : }}}}$

$\purple \bull \bf \: \: {( \sqrt{2} + \sqrt{5}) }^{2}$

$\huge \purple{\sf{ \underline{{♤identity \: used \ \: : }}}}$

$\purple \bullet \bf \: {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

$\huge \purple{\sf{ \underline{{♤ solution \ \: : }}}}$

$\purple \to \sf { \sqrt{2} }^{2} + 2( \sqrt{2} \times \sqrt{5} ) + { \sqrt{5} }^{2}$

$\purple \to2 + 2( \sqrt{10} ) + 5$

$\purple \to7 + 2 \sqrt{10}$

$\bold \purple{\sf{ \underline{\underline{{{♤additional \: information\ \: : }}}}}}$

$\purple♤ \sf {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

$\purple♤ \sf {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

$\purple♤ \sf {x}^{2} - {y}^{2} = (x + y)(x - y)$

$\purple♤ \sf(x + a)(x + b) = {x}^{2} + x(a + b) + ab$

Step-by-step explanation:

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