What is the sum of the square root of 72 + square root of 50?

1 Answer
May 1, 2018

Answer:

#11sqrt2#

Explanation:

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#"simplifying each radical"#

#sqrt72=sqrt(36xx2)=sqrt36xxsqrt2=6sqrt2#

#sqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2#

#rArrsqrt72+sqrt50=6sqrt2+5sqrt2=11sqrt2#