Question

if √{13 + a root 10} equals to root 8 + root 5 then find the value of a​

Answer 1

Step-by-step explanation:

$\sqrt{13 + a \sqrt{10} } = \sqrt{8} + \sqrt{5} \\ squiring \: both \: sides \: we \: find \\ ( { \sqrt{13 + a \sqrt{10} })}^{2} = ( {\sqrt{8} + \sqrt{5}})^{2} \\ 13 + a \sqrt{10} = 8 + 5 + 2 \sqrt{40} \\ 13 + a \sqrt{10} = 13 + 2 \sqrt{4 \times 10} \\ a \sqrt{10} = 4\sqrt{ 10} \\ a = \frac{4 \sqrt{10} }{ \sqrt{10} } \\ a = 4$

Answer 2

Answer:

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