Expert: Richard J. Raridon - 10/11/2004

Question
THE OBJECTIVE HERE IS TO FIND THE SQUARE ROOTS OF THE NUMBERS WITH RATIONAL SQUARE ROOTS. I AM NOT GOOD WITH SQUARE ROOTS AND I COULD REALLY USE YOUR HELP FOR THESE TWO.

1. WHAT IS THE SQUARE ROOT OF 25 OVER 64

2. WHAT IS THE SQUARE ROOT OF[2] OVER 2

3. WHAT IS THE SQUARE ROOT OF 25A SQUARED B-SQUARED

4. WHAT IS THE SQUARE ROOT OF 50X SQUARED

5. WHAT IS THE SQUARE ROOT OF 3 OVER 5


Answer
When you take square roots you get two numbers, one negative and one positive. You can indicate a square root by ^1/2, such as 16^1/2, which gives you +4 and -4, usually written +/-4
1. (25/64)^1/2 = +/-5/8
2. |2|^1/2 = 1.414
2^1/2 = +/-1.414
3. (25A^2B^2) = +/-5AB
4. (50X^2)^1/2 = +/-7.071X
5. (3/5)^1/2 = +/-0.7746