What will come in place of question mark (?) in the following question? [(1/{2+\sqrt3})+(1/{\sqrt3+\sqrt2})+(1/{\sqrt2+1})]=?

Haryana Police Constable Model Paper 1

Question : 56 of 100

Marks: +1, -0

What will come in place of question mark (?) in the following question?

[(1/{2+√3})+(1/{√3+√2})+(1/{√2+1})]=?

Solution:

{1}/{2+\√{3}} ×{2-\√{3}}/{2-\√{3}}=2-\√{3}

Similarly

⇒ {1}/{\√{3}+\√{2}}=\√{3}-\√{2}

⇒{1}/{\√{2}+1}=\√{2}-1

Put value in the equation

⇒2-\√{{3}}+\√{{3}}-√{{2}}+\√{2}-1 = 1

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