The square root of (\frac{\sqrt3+\sqrt2}{\sqrt3-\sqrt2}) is

RRB Junior Engineer Stage 1 Model Papers 1

Question : 27 of 100

Marks: +1, -0

The square root of

({√3+√2}/{√3-√2})

Solution:

Expression

=({√3+√2})/({√3-√2})

Rationalizing the denominator,

={(√3+√2)(√3+√2)}/{(√3-√2)(√3+√2)}={(√3+√2)^2}/{3-2}=(√3+√2)^2

∴√{{√3+√2}/{√3-√2}}=√(√3+√2)^2=√3+√2

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