SOLUTION: square root of 42a^3b^5 / square root of 14a^2b
Algebra.Com
Question 74288: square root of 42a^3b^5 / square root of 14a^2b
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Rewrite square roots using the identity: 
^{\frac{1}{2}}(b^5)^{\frac{1}{2}}}{\sqrt{14}(a^2)^{\frac{1}{2}}(b)^{\frac{1}{2}}})
Rewrite square roots into powers (ie =x^{\frac{1}{2})
or in more general terms =x^{\frac{1}{n})
(b^{5*\frac{1}{2}})}{\sqrt{14}(a^{2*\frac{1}{2}})(b^{\frac{1}{2}})})
Multiply the exponents
(b^{\frac{5}{2}})}{\sqrt{14}(a^{1})(b^{\frac{1}{2}}))
hello
(b^{\frac{5}{2}-\frac{1}{2}})}{\sqrt{14}})
Subtract the exponents since you are dividing
(b^{2})}{\sqrt{14}})
(b^{2}))
Divide the square roots as one (in other words 
(b^{2}))
Rewrite the fractional exponent as a radical
There's your simplified answer
RELATED QUESTIONS
Square root of a^3b divided by square root of... (answered by checkley79)
please help me.....
{{{ cube root of (3b^2) times square root of (2b)... (answered by chitra)
Square root of... (answered by jim_thompson5910)
the square root of... (answered by tutorcecilia)
Write in simplified form
the square root of 5/the square root of... (answered by bucky)
√20a^3b^2
Square root of... (answered by ankor@dixie-net.com)
square root of 32a^2b simplify
i got 4a square root of... (answered by MathLover1)
Multiply and simplify. Show your steps.
square root of 15b times square root of... (answered by ewatrrr)
the square root of (b+3)= the square root of... (answered by funmath)