SOLUTION: Simplify square root 5/32. I worked it out to square root 10/8. Am I correct?

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify square root 5/32. I worked it out to square root 10/8. Am I correct?      Log On


   

Question 184045This question is from textbook saxon algebra 2
: Simplify square root 5/32. I worked it out to square root 10/8. Am I correct? This question is from textbook saxon algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the expression sqrt%285%2F32%29 ???


sqrt%285%2F32%29 Start with the given expression.


sqrt%285%29%2Fsqrt%2832%29 Break up the square root.


sqrt%285%29%2F%284%2Asqrt%282%29%29 Simplify the square root in the denominator. (note: If you need help with simplifying square roots, check out this solver)


%28sqrt%285%29%2Asqrt%282%29%29%2F%284%2Asqrt%282%29%2Asqrt%282%29%29 Multiply both the numerator and denominator by sqrt%282%29


%28sqrt%285%29%2Asqrt%282%29%29%2F%284%2A2%29 Multiply sqrt%282%29 and sqrt%282%29 to get 2


sqrt%2810%29%2F%284%2A2%29 Multiply sqrt%285%29 and sqrt%282%29 to get sqrt%2810%29


sqrt%2810%29%2F8 Multiply



So sqrt%285%2F32%29=sqrt%2810%29%2F8 which means that you are correct.


Note: sqrt%285%2F32%29=0.3952847 (approximately) and sqrt%2810%29%2F8=0.3952847 (approximately). So this helps confirm our answer.