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Question

# Rationalise the denominator and simplify (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13)

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Solution

## We need to rationalize the denominator of the following expressions and simplify them. (1) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (2) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (3) Here, Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (4) Here, Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (5) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (6) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (7) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (8) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (9) Multiplying both numerator and denominator by the rationalizing factorof the denominator, we get: Hence, (10) Taking L.C.M., we get: Hence, (11) Multiplying both numerator and denominator of each term by the rationalizing factor of its denominator, we get: Hence, (12) Multiplying both numerator and denominator of each term by the rationalizing factor of its denominator, we get: Hence, (13) Multiplying both numerator and denominator of each term by the rationalizing factor of its denominator, we get: Hence,

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