How do you simplify #sqrt(98/x^2)#?

1 Answer
Jul 18, 2018

Answer:

#(7sqrt2)/x#

Explanation:

The square root of a quotient is the same as the quotient of the square roots, so we can rewrite this as

#sqrt98/sqrt(x^2)#

Since #98=49*2#, #sqrt98=sqrt49sqrt2#. The square root of something squared is that something, so our entire expression simplifies to

#(sqrt49sqrt2)/x#

#=>(7sqrt2)/x#

Hope this helps!