Question 1192820
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There are several different paths you can take to simplify this expression.  I would definitely go a different direction that the other tutor.  And according to usual standards, my simplified form should not have a radical in the denominator.<br>
(1) Change the fraction containing square roots in numerator and denominator into a single square root of a fraction:<br>
{{{sqrt(24x^8y^3)/sqrt(75x^(-7)y^17) = sqrt((24x^8y^3)/(75x^(-7)y^17))}}}<br>
(2) Simplify the fraction:<br>
{{{sqrt(8x^15/25y^14)}}}<br>
(3) Extract perfect squares where possible:<br>
{{{sqrt((4x^14)(2x)/25y^14) = (2x^7/5y^7)sqrt(2x)}}}<br>