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# Algebra Problems

Find the square root. Assume that all of the variables represent positive real numbers.
1. The square root 25x^12

Find the cube root.
2. ^3 square root 512

Simplify the radical expressions. Assume that all variables represent positive real numbers.
3. the square root of 72 multiply the square root of 2
4. the square root of 8 over 25
5. the square root of 96
6. the square root of 3x^2 subtract 3 the square root of 48x^2 subtract 2 the square root of 48^2
7. the square root of 48 + the square root of 147
8. the square root of 25 + the square root of 48 + the square root of 49 + the square root of 192
9. the square root of 7 open parentheses the square root of 3 + the square root of 5 close parentheses
10. the square root of 11 open parentheses the square root of 11 + x the square root of 22 close parentheses
11. open parentheses the square root of 2 - the square root 5 close parentheses ^2
12. open parentheses the square root of 3 + the square root 2 close parentheses
open parentheses the square root of 3 - the square root of 2 close parentheses

Solve.
13. the square root of 5x= 2
14. the square root of x+1= 5
15. the square root of 4x-3-3=0
16. the square root of 2x+7+9= 0
17. the square root of 2x-1+6= 9

#### Solution Preview

1. The square root 25x^12 = 5 x^6

Find the cube root.
2. ^3 square root 512 = 8

3. the square root of 72 multiply the square root of 2 = the square root of 36 multiply the square root of 4
= 6 x 2
= 72

4. the square root of 8 over 25 = (2 multiply the square root of 2) over 5

5. the square root of 96 = 4 multiply the square root of 6

6. the square root of 3x^2 subtract 3 the square root of 48x^2 subtract 2 the square root of 48^2 =
= x multiply the ...

#### Solution Summary

Algebra Problems are solved.

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