Question

Simplify √50????????

Answer 1

Answer: 5√2

1. Rewrite 50 as its prime factors:

`√(2 * 5 *5)`

2. Group the same prime factors into pairs

`√((5*5)*2)`

3. Rewrite each pair in exponent form

`√(5^2*2)`

4. Use this rule:
`√(x^2=x)`

5√2

Answer 2

5√2

Explanation:

√50 = √(25*2)

The square root of 25 is 5, and we leave the two in the radical.

5√2