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Polynomials

Question

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Rationalise the denominators of the following:

$fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction$

Solution

fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction

fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction equals fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction cross times fraction numerator square root of 5 minus square root of 2 over denominator square root of 5 minus square root of 2 end fraction

Multiplying and dividing by

square root of 5 minus square root of 2

equals fraction numerator square root of 5 minus square root of 2 over denominator 5 minus 2 end fraction equals fraction numerator square root of 5 minus square root of 2 over denominator 3 end fraction

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.

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