Simplify square root of 2x * root of y? and simplify root of 75x^2 + root of 12x^2?

Question

Simplify square root of 2x * root of y? and simplify root of 75x^2 + root of 12x^2?

Answer 1

WHAT?

Answer 2

square root of 2x * root of y

if both of those are sq root, then the answer is sq rt (2xy)

root of 75x^2 + root of 12x^2

again, if both of these are sq rt, then

sq rt 75x^2 = 5x sq rt 3 and

sq rt 12x^2 = 2x sq rt 3 so adding those, you get

5x+2x sq rt 3 or

7x sq rt 3

Answer 3

sqrt(75x^2) + sqrt(12x^2)

= 5xsqrt(3) + 2xsqrt(3)

7xsqrt(3)

Answer 4

√(2x)√(y) =√(2xy)

√(75x^2) + √(12x^2)

√(5*5*3*x*x) + √(2*2*3*x*x)

5x√(3) + 2x√(3)

7x√(3)