Question

$If \: \: \sqrt{18 - a \sqrt{14} } = \sqrt{8} + \sqrt{7} \\ find \: \: the \: \: value \: \: of \: \: a.$
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Answer 1

The correct question will be like this

√18 - a√14 = √8 + √7

√(9×2) - a√(7×2) = 2√2 + √7

3√2 - a√7√2 = 2√2 + √7

√2 - √7 = a√7√2

a = (√2 - √7)/(√7√2)

a = 1/√7 - 1/√2

Answer 2

Step-by-step explanation:

Answer:-

√18- a√14= √8+√7

→√(9x2)-a√(7x2)=2√2+√7

3√2-a√7√2=2√2+√7

√2-√7=a√7√2

a=(√2-√7)/(√2√7)

→a=(1/√7)-1/√2

Hope it helps

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