How do you simplify sqrt 2 / sqrt 10?
1 Answer
Aug 14, 2017
Explanation:
"to simplify a fraction with radicals we make the denominator"
"rational, that is remove the radical"
"using the "color(blue)"laws of radicals"
•color(white)(x)sqrtaxxsqrta=a
•color(white)(x)sqrtaxxsqrtbhArrsqrtab
"to remove the radical from the denominator multiply the"
"numerator and denominator by "sqrt10
sqrt2/sqrt10xxsqrt10/sqrt10
=sqrt(2xx10)/10
=sqrt20/10=sqrt(4xx5)/10=(sqrt4xxsqrt5)/10=(2sqrt5)/10=sqrt5/5
