Tool By Zeal Point

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Q. Simplify: $1/\sqrt5 -\sqrt 2 + 1/ \sqrt 5 +\sqrt 2$

(A) $2 \sqrt 5$ (B) $2 \sqrt 5$ (C) $5$ (D) $2 \sqrt 3$

Solution

Use: 1/a − b + 1/a + b = 2a/a²−b²

Here, take

^{$a = \sqrt 5, b = \sqrt 2$}

So,

1/√5 − √2 + 1/√5 + √2 = 2√5 /(√5)²−(√2)²

Trick

Whenever you see:

directly use: 2a/a²-b²

Here: a = 5, b = 2

Hence:

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