Question

Simplify square root 50x^6

Answer 1

The rule of law of the square root of constants is taking the nearest divisible number which has a square root of an integer. In this case, 50 is divisible by 25. Hence sqrt of 50 is 5 sqrt 2. The sqrt of a variable applies the multiplication rule. x^6 is raised to 0.5 equal to x^3. Hence the answer is 5 x3 sqrt 2.