10.2 - Simplifying Radical Expressions

Vocab

100

Factors

2+ numbers that when multiplied, produce another number

200

Perfect square

A number that has a whole number square root

(1, 4, 9, 16, 25, 36, etc...)

(NOT 2, 3, 5, 7, 8, etc...)

300

Rationalizing denominator

Turning a denominator that is/has a radical into a whole number

400

Radicand

The expression underneath the square root symbol

500

Conjugate

The opposite of an expression with a radical. 

(sqrt(3) - 1) has a conjugate of (sqrt(3) + 1)

Easy Problems

100

3(sqrt(16))

12

200

3(sqrt(10)) * 5(sqrt(10))

150

300

(sqrt (88m^3p^2r^5))

2mpr^2(sqrt(22mr))

400

5(sqrt(81q^5))

15q^2(sqrt(q))

500

4(sqrt(2)) * 5(sqrt(8))

80

Challenge Problems

100

6 /5 + (sqrt(11))

3(5 - (sqrt(11))) / 7

200

1 /4 + (sqrt(12))

2 - (sqrt(3)) /2

300

sqrt(27/m^5)

3(sqrt(3m)) /m^3

400

9 / 6 - (sqrt(8))

9(3 + (sqrt(2))) / 14

500

3 / (sqrt(7)) - (sqrt(2))

2(sqrt(7)) - (sqrt(2))) / 5