How do you rationalize the denominator and simplify #sqrt(49/10)#?

1 Answer
Apr 6, 2016

Answer:

#(7sqrt10)/10#

Explanation:

#color(blue)(sqrt(49/10)#

Remember #color(brown)(sqrt(x/y)=sqrtx/sqrty#

So,

#rarrsqrt(49/10)=sqrt49/sqrt10#

#rarr7/sqrt10#

But wait!,In mathematics generally:

The denominators of fraction are not irrational numbers (the

numbers that cannot be expressed in the form #x/y#). So,we need to

rationalize the denominator.

So,

Multiply the whole fraction with

#rarr7/sqrt10*sqrt10/sqrt10#

#color(green)(rArr=(7sqrt10)/10#