Question

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$(4 + \sqrt{5} )^{2}$
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Answer 1

Answer:

We know that

$( {a + b})^{2} = {a}^{2} + {b}^{2} + 2ab$

$( {4 + \sqrt{5} })^{2} \\ = {4}^{2} + 5 + 2 \times 4 \times \sqrt{5} \\ = 16 + 5 + 8 \sqrt{5} \\ 21 + 8 \sqrt{5}$

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