Q3 of 44 Page 1

Simplify: . (CBSE 2010)

2√45 = 2√(3*3*5)
= 2*3√5
=6√5

Also 3√20 = 3√2*2*5
= 3*2√5
= 6√5

So numerator = 6√5 + 6√5 = 12√5

And denominator is 2√5.

∴ expression becomes = 6

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