Radical and Rational Exponents

Roots and Radical Expressions

100

These are all the real square roots of 225.

 -15 and 15?

200

These are all the real cube roots of -64.

 -4

300

This is the real root of square root of 36.

 -6 and 6

400

Simplify "square root of 16x²

 4x

500

These are the two real solutions of the equation x² = 100.

 -10 and 10

Multiplying/Dividing Rational Expressions

100

Simplify " square root of 8 times the square root of 32"

16

200

Simplify: "square root of 20x³"

 2x times square root of 5x

300

What is the simplification of square root of 500 divided square root of 5?

10

400

Rationalize the expression: "square root of x divided by square root of 2

 square root of 2x over 2.

500

Simplify the expression: " square root of 16x⁴ y⁴ .

 4x²y²

Binomial Radical Expressions

100

 Simplify: "5 times square root of 6 +  square root of 6" 

 6 square root of 6

200

Simplify: " 6 square root of 18  + 3 square root of 50" 

 33 square root of 2

300

Multiply: (2 + square root of 7)(1 + 3 square root of 7)

 23 + 7 square root of 7

400

Rationalize the denominators and simplify:" 2 square of 50 / square root of 2

10

500

Simplify:  "square root of 9x²   +   square root of 25x²"

8x

Rational Exponents

100

Write the expression in exponential form: "square root of (7x)³" 

 (7x)^3/2

200

Write each expression in simplest form: (x^2/3)^-3

 1/x²

300

Simplify each number:

1000^4/3  /  100^3/2

 10

400

Simplify the expression:

(x^2/7)(x^3/14)

 x^1/2

500

Simplify:  (16^1/2)^1/2

 2

Random

100

Solve for x: 3 * sqrt (x) + 3 = 15

2

200

If y varies inversely with x and y = 2 when x = 12. Find x when y = 6.

 4

300

What is the parent function of square root function?

y = sqrt(x)

400

Solve for x: 3(x-2)^(3/4)=24

 18

500

Solve for x: 3 + (4 - x)^(3/2) = 11

 0