Question

How do you simplify `sqrt(9-(9/2))`?

Answer 1

`(3sqrt(2))/2`

Explanation:

Consider the following: If you multiply a value by 1 you not change it value`" "6xx1=6`. However, 1 comes in many forms. One of them is `1=2/2" "` Multiplying by this does not change the value but it does change the way it looks.
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`color(blue)("Answering the question")`

Multiply the 9 by 1 but in the form of `1=2/2`

write as:`" "sqrt( (9xx2/2)-9/2)`

`sqrt(18/2-9/2)" "=" "sqrt(9/2)`

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

Giving:`" "3/sqrt(2)xxsqrt(2)/sqrt(2)`

`=(3sqrt(2))/2`