Which expression is equal to 7√28−5√63 ?
A. −11√7
B. −37√7
C. −√7
D. √7
Simplify 5√ 12xm^3.
Assume x and m are nonnegative.
A. 60m^3√ x
B. 60√ xm^3
C. 10m^3√ 3x
D. 10m√ 3xm
Which expression is equal to 5/√13√ ?
A. 25/13
B. √65/13
C. √5/13
D. 5√13/13
square root of 28 is just a matter of breaking it down
2*2*7= 28 you have two 2's or its like square root of 4=2
however you want to see it, so the 2 can come out and you have 7*2 square root of 7
14sqrt7
do the same with the other, you know the 7 has to be left cause the answers all have sqrt7
what times 7 =63 well 9, sqrt 9=3 so the 3 comes out
5*3=15 so you have 15sqrt7
like terms now, so 14-15=-1
answer is -1sqrt7 or C
sqrt12 is sqrt 4*3 so sqrt 4 is 2, 2 comes out, 3 stays in.
5*2=10, 10sqrt3, the m^3 is m*m*m so you can say two of those m's allow it to come out
only one x so it can not come out so 10msqrt3mx or D
one way to get the sqrt out of the denomiator or bottom of the fraction is
to multiply by 1 or in this case sqrt13/sqrt13. this leaves 13 on the bottom and sqrt13 on the top
D is the only answer that meets that
