Question

How do you simplify `( 10sqrt 2)/(2 sqrt 8)`?

Answer 1

`(18sqrt2)/(2sqrt8)=(9sqrt2)/(2sqrt2)=4.5`

Answer 2

`+-5/2`

Explanation:

Write as

`(10sqrt(2))/(2sqrt(2)sqrt(4)) -> (10 sqrt(2))/(4sqrt(2))->10/4xx1 = 5/2`

Consider: `(-a)xx(-a)=(+a)xx(+a)=a^2`. The example's `a^2` is the equivalent condition to the 8 and 2 in `sqrt(2)" and "sqrt(8)`. So in our solution the square root cane be positive or negative. Thus our answer is:

`" "+-5/2`