Simplify: √18/(5√18+3√72-2√162)

Asked by ss223767 | 26th Mar, 2020, 11:44: AM

Expert Answer:

begin mathsize 18px style fraction numerator square root of 18 over denominator 5 square root of 18 plus 3 square root of 72 minus 2 square root of 162 end fraction
equals fraction numerator square root of 9 cross times 2 end root over denominator 5 square root of 9 cross times 2 end root plus 3 square root of 36 cross times 2 end root minus 2 square root of 81 cross times 2 end root end fraction
equals fraction numerator 3 square root of 2 over denominator 15 square root of 2 plus 18 square root of 2 minus 18 square root of 2 end fraction
equals fraction numerator 3 over denominator 15 plus 18 minus 18 end fraction
equals 1 fifth end style

Answered by Arun | 26th Mar, 2020, 03:58: PM

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