squareroot euqations?

Question

simplify the radicals and combine when possible
1.
5x√(72) + √(8x^2)

2.√(m^2 p) + √(n^2 p) - √(n^2 n^2 p)

thanks

Answer 1

1)
sqrt(72) = sqrt(8*9)=3*sqrt(8)=6*sqrt(2)
sqrt(8x^2) = x*sqrt(8)=2x*sqrt(2)

5 x 6sqrt(2) + 2xsqrt(2)=32*x*sqrt(2)

2)
m*sqrt(p)+n*sqrt(p) - n^2 * sqrt(p) = sqrt(p)*(m + n - n^2)

Answer 2

5x√(72) + √(8x^2)
= 5x√(36*2) + √(2*4x^2)
= 6*5x√(2) + 2x√(2)
= 30x√(2) + 2x√(2) = 32x√(2)

√(m^2 p) + √(n^2 p) - √(n^2 n^2 p)
= m√(p) + n√(p) - n^2√(p)
=√(p)(m+n-n^2)

Answer 3

1. 5x√(9*4*2) + x√8
....30x√2 + 2x√2
....32√2

2. m√p + n√p - n√2p
...√p(m + n - n√2)

whoops...the kiai is right...I screwed the pooch on the second one

Answer 4

5x sq rt(72)+sq rt (8x^2)
5x sq rt(2.4.9)+sq rt(2.4.x^2)
5x.2.3.sq rt.(2)+2x.sq rt(2)
30x sq rt(2)+2x sq rt (2)
32x sq rt (2) Ans