যদি a = √3 + √2 হয়, তবে (1/a) = ?

A 1/(√3 + 2)

B 1/(√3 + √2)

C √3 - √2

D 1/(√3 - √2)

Solution

Correct Answer: Option C

a = √3 + √2
বা, 1/a = 1/(√3 + √2)
বা, 1/a = (√3 - √2)/(√3 - √2)(√3 + √2)
বা, 1/a = (√3 - √2)/{(√3)2 - (√2)2}
বা, 1/a = (√3 - √2)/(3 - 2)
বা, 1/a = (√3 - √2)/1
∴ 1/a = (√3 - √2)

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