10.3 - Operations with Radical Expressions

Vocab

100

Factors

2+ numbers that are multiplied together and yielded another number

200

Like terms

Terms with the same base

300

Square root base

The number/expression underneath the square root (a.k.a radicand)

400

Radicand

The expression underneath the radical

500

Monomial

One term

Easy Problems

100

8(sqrt(3)) + 5(sqrt(3))

13(sqrt(3))

200

(sqrt(12)) - (sqrt(3))

(sqrt(3))

300

4(sqrt(3)) * 8(sqrt(3))

96

400

(sqrt(5))(sqrt(2) + 4(sqrt (2)))

5(sqrt(10))

500

(sqrt(6))(2(sqrt(10)) + 3(sqrt(2)))

4(sqrt(15)) + 6(sqrt(3))

Challenge Problems

100

(3(sqrt(11)) + 3(sqrt(15)))(3(sqrt(3)) + 2(sqrt(2)))

9(sqrt(33)) - 6(sqrt(22)) +27(sqrt(5)) - 6(sqrt(30))

200

(sqrt(2) + sqrt(3))^2

5 + 2(sqrt(6))

300

(8(sqrt(13)) + (10(sqrt(19)))(3(sqrt (7)) - 4(sqrt(5)))

24(sqrt(91)) - 32(sqrt(65)) + 30(sqrt(133)) - 40(sqrt(95))

400

(sqrt(14)) - (sqrt(2/7))

6(sqrt(14)) / 7

500

(sqrt(50)) + (sqrt(32)) - (sqrt(1/2))

17(sqrt(2)) / 2