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Polynomials

Question

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Simplify the following by rationa-lising the denominator:

$fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator square root of 48 plus square root of 18 end fraction.$

Solution

fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator square root of 48 plus square root of 18 end fraction space space space space space space space space space equals space fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator 4 square root of 3 plus 3 square root of 2 end fraction space space space space space space space space space space equals space fraction numerator 7 square root of 3 minus 5 square root of 2 over denominator 4 square root of 3 plus 3 square root of 2 end fraction cross times fraction numerator 4 square root of 3 minus 3 square root of 2 over denominator 4 square root of 3 minus 3 square root of 2 end fraction space space space space space space space space space space equals space fraction numerator 84 minus 21 square root of 6 minus 20 square root of 6 plus 30 over denominator 48 minus 18 end fraction space space space space space space space space space space equals space fraction numerator 114 minus 41 square root of 6 over denominator 30 end fraction

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.

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