Download U1HW2 Radical Operations Practice

HW2 U1 Radicals Practice
Simplify each radical expression. Rationalize all denominators
3
1. √64𝑐
2. √16𝑎12
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2a
3. √7𝑥 ∙ √3𝑦
3
Ex
3
3
5. √2𝑥𝑦 2 ∙ √4𝑥 2 𝑦 7
3
4. √4𝑏2 ∙ √16𝑏
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6. 4√3𝑎4 ∙ 2√24𝑎3
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3,58W
48a3
*Outside# x outside#
*Radical x Radical, then simplify if needed
7. √𝑎(√𝑎𝑏 + √𝑏)
3
3
8. 3√2𝑦 ( √𝑥 2 𝑦 − √𝑥 5 𝑦 2 )
22,2 Fas
Ft x
z
*FOIL
9. (√6𝑎 − 2)(√6𝑎 + 2)
*FOIL
10. (5√𝑥 − 6√𝑦)(√𝑥 − √𝑦)
5F
S E G F 6IF
5 HEy t o
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*Combine like terms
11. 2√8 − √8
12.
13. − √12 − 9√12 − √12
*You need to reduce the radicals first, then combine
14. √8 + √50 − √18
15. − 2√45 − 3√20 − 2√6
16.
3
3
− 16 √4 + 10 √4
KITE BED
7√300𝑥 − 5√48𝑥
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70
Rationalize the denominator and simplify. (Multiply by the radical portion on the bottom only to
make a perfect square or cube when the radical is a single term.)
17.
√
9𝑥
2
IEEE
18.
√𝑥𝑦
√3𝑥
FEI
19.
√27𝑎8
3
20. √
√3𝑎3
2𝑥 10
𝑥 20
Rationalize the denominator and simplify. (Multiply by the conjugate when the denominator is a
binomial.)
3
5
21.
22.
−5 − 3√3
1 + 4√5
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23.
√5
2 + √2
25
24.
−√6
4 − √5
43
4 55
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