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Polynomials

Question

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Rationalise the denominators of the following:

$fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction$

Solution

fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction equals fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction cross times fraction numerator square root of 7 plus square root of 6 over denominator square root of 7 plus square root of 6 end fraction

Multipying and dividing by

square root of 7 plus square root of 6

equals fraction numerator square root of 7 plus square root of 6 over denominator 7 minus 6 end fraction equals square root of 7 plus square root of 6.

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.

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