How do you simplify (4sqrt32) /3 +( 5sqrt18) / 6?

1 Answer
May 13, 2017

color(brown)((47sqrt2)/6

Explanation:

(4sqrt32)/3+(5sqrt18)/6

By calculatorcolor(brown)(=11.07800624

:.=(8sqrt32+5sqrt18)/6

:.=(8 xx sqrt(4*4*2)+5sqrt(3*3*2))/6

sqrt4 xx sqrt4=4,sqrt3 xx sqrt3=3

:.=(8 xx 4sqrt(2)+5 xx 3sqrt(2))/6

:.=(32sqrt(2)+15sqrt(2))/6

:.color(brown)(=(47sqrt2)/6 by calculator color(brown)(=11.07800624