How do you simplify sqrt(9-(9/2))√9−(92)?

1 Answer
Tony B
May 4, 2016

(3sqrt(2))/23√22

Explanation:

Consider the following: If you multiply a value by 1 you not change it value" "6xx1=6 6×1=6. However, 1 comes in many forms. One of them is 1=2/2" "1=22 Multiplying by this does not change the value but it does change the way it looks.
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Multiply the 9 by 1 but in the form of 1=2/21=22

write as:" "sqrt( (9xx2/2)-9/2) √(9×22)−92

sqrt(18/2-9/2)" "=" "sqrt(9/2)√182−92 = √92

Write as: " "sqrt(9)/sqrt(2)" "=" "3/sqrt(2) √9√2 = 3√2

But it is not good practice to have a root as a denominator

Multiply by 1 but in the form of 1= sqrt(2)/sqrt(2)1=√2√2

Giving:" "3/sqrt(2)xxsqrt(2)/sqrt(2) 3√2×√2√2

=(3sqrt(2))/2=3√22

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