Polynomials
Simplifying Radicals
Exponent Rules
Rational Exponents
Rational Vs Irrational
100

(x2+3x) + (3x2-5x)

4x2-2x

100

simplify the square root of 28

2 times the square root of 7

100

Simplify (3x)-2

1/(3x)2

100

Change the following to radical form

(3x)1/2

Square root of 3x

100

Is 0 rational or irrational

Rational

200

(3x2-5)-(-2x2-5)

5x2

200

Simplify the square root of 80

4 times the square root of 5

200

(5x3)2

25x6

200

Change the following to exponential form

The 3rd root of (6x)2

(6x)2/3

200

Is the following rational or irrational and why?

4.1236479120...

Irrational because the decimal does not end/terminate

300

(4x+3)(-3x+6)

-12x2+15x+18

300

Simplify the square root of 100x3y

10x times the square root of xy

300

(6xy)2

36x2y2

300

Change the following to radical form

(3x2+4)-5/2

1/the square root of (3x2+4)5

300

Find the product and determine if it is rational or irrational

The square root of 7 times 6

Irrational and 6 times the square root of 7

400

(2x2+x)(5x-3)

10x3-x2-3x

400

Simplify the CUBED root of 64x2y6

4y2 times the cubed root of x2

400

50x2y7/2x6y6

25y/x4

400

Change the following to radical form

1/(7x+3)-5/4

The 4th root of (7x+3)5

400

Find the sum and determine if it is rational or irrational

The square root of 37 plus the square root of 37

The sum is 2 square root 37 so it is irrational

500

-(x2+2x+4)(2x+2)

-2x3-6x2-12x-8

500

Simplify the square root of 200x3y5z8

10xy2z4 times the square root of 2xy

500

(-4y2)3/-12y2

-16y4/3

500

Simplify (155)1/4

15 times the 4th root of 15

500

Find the sum and determine if it is rational or irrational.

4 + 5 times the square root of 2.

Irrational and the sum is 4 + 5 times the square root of 2.

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