Question 184045
Is the expression {{{sqrt(5/32)}}} ???



{{{sqrt(5/32)}}} Start with the given expression.



{{{sqrt(5)/sqrt(32)}}} Break up the square root.



{{{sqrt(5)/(4*sqrt(2))}}} Simplify the square root in the denominator. (note: If you need help with simplifying square roots, check out this <a href=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)  



{{{(sqrt(5)*sqrt(2))/(4*sqrt(2)*sqrt(2))}}} Multiply both the numerator and denominator by {{{sqrt(2)}}}



{{{(sqrt(5)*sqrt(2))/(4*2)}}} Multiply {{{sqrt(2)}}} and {{{sqrt(2)}}} to get 2



{{{sqrt(10)/(4*2)}}} Multiply {{{sqrt(5)}}} and {{{sqrt(2)}}} to get {{{sqrt(10)}}}



{{{sqrt(10)/8}}} Multiply




So {{{sqrt(5/32)=sqrt(10)/8}}} which means that you are correct.



Note: {{{sqrt(5/32)=0.3952847}}} (approximately) and {{{sqrt(10)/8=0.3952847}}} (approximately). So this helps confirm our answer.