Simplifying Radicals
Radicals
Perfect Square Radicals
Multiplying Terms with Exponents
Simplifying Exponents
100

Simplify 2+ √49

2+7

9

100

Rational or irrational 

√289

Rational

100

√64

√8*8

8

100

(t4)(3t7)

3t ( 4 + 7 )

3t11

100

(k3)5

k ( 3 * 5 )

k15

200

Simplify √16 * √256

4*16

64

200

Rational or irrational 

√22

Irrational

200

√144

√12 * 12

200

(7x7)(4x3)

7*4x( 7 + 3 ) 

28x10
200

(2x3)4

24x ( 3 * 4 )

16x12

300

Simplify 2√25

10

300

Rational or irrational 

√64 + √16

Rational

8 + 4 = 12

300

√225

√15*15

15

300

(4m4n2)(3m5n3)

4*3  m (4+5)  n (2+3)

12m9n5

300

(5xy4)3

53x3y( 4 * 3 )

125x3y12

400

Simplify √64 + √81

8+9

17

400

Order these radicals from least to greatest:

√121, √256, √32, √44, √4

Which one(s) are rational?

√4, √32, √44, √121, √256

Rational= √4, √121, √256

400

√169

√13 * 13

13

400

(x5y2z4)(2x3y2z4)(4x3)

2*4*x(5+3+3)y(2+2)z(4+4)

8x11y4z8

400

(32x5y2)2

(32x5y2)2

3(2*2)x(5*2)y(2*2)

34x10y4

81x10y4

500

Simplify 2√121 + 10

2 * 11 + 10

32

500

Order these radicals from least to greatest:

√16, √100, √20, √25 √81

Which one(s) are irrational?

√16, √24, √25, √81, √100

Irrational= √20


500

√625

√25*25

25

500

(3x4y3z2)(8x5y4z3)(5x2)

3*8*5*x(4+5+2)y(3+4)z(2+3)

120x11y7z5

500

(4a5b0c2)3

43a(5*3)*1*c(2*3) 

(b0=1)

64a15c6

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