SOLUTION: What is the simplified expression of (4 times the square root of 10 — the square root of 90) ----------- ----------- ----------- ----------- -----------

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Question 897213: What is the simplified expression of
(4 times the square root of 10 — the square root of 90)
----------------------------------------------------------------
(Over the square root of 2)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
%284sqrt%2810%29-sqrt%2890%29%29%2Fsqrt%282%29

A factorization is useful, so rationalizing the denominator is not necessary.

%284%2Asqrt%282%2A5%29-sqrt%282%2A45%29%29%2Fsqrt%282%29

%284sqrt%282%29sqrt%285%29-sqrt%282%29sqrt%2845%29%29%2Fsqrt%282%29

%28%28sqrt%282%29%29%284sqrt%285%29-sqrt%2845%29%29%29%2Fsqrt%282%29

%28cross%28sqrt%282%29%29%284sqrt%285%29-sqrt%2845%29%29%29%2Fcross%28sqrt%282%29%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
What is the simplified expression of
(4 times the square root of 10 — the square root of 90)
----------------------------------------------------------------
(Over the square root of 2)


%284sqrt%2810%29+-+sqrt%2890%29%29%2Fsqrt%282%29

%284sqrt%2810%29+-+sqrt%283%5E2+%2A+10%29%29%2Fsqrt%282%29

%284sqrt%2810%29+-+3sqrt%2810%29%29%2Fsqrt%282%29

sqrt%2810%29%2Fsqrt%282%29______sqrt%2810%2F2%29______highlight_green%28highlight_green%28sqrt%285%29%29%29

You can do the check!! 



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