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Can you help me with simplifying these radical expressions? Thank you.

1. 5√24 * 3√10

2. √192

3. √150

Have a great day! =)

2007-11-11 11:57:01 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

1. 24 is same as 2*2*2*3 and 10 is same as 2*5
so if you take 24*10 you will have 4 two's so factor out 16 to get

5sqrt(3) * 3sqrt(5) * sqrt(16)

15sqrt(15)*4

60sqrt(15)

2. 192 is equal to 64 * 3

8sqrt(3)

3. 150 is equal to 25 * 6

5sqrt(6)

2007-11-11 12:06:40 · answer #1 · answered by pyrokleptomanic08 2 · 0 0

1. 5√24 * 3√10
= 15√(240) = 15√(16*15) = 4*15√15 = 60√15

2. √192 = √(64*3) = 8√3

3. √150 = √(25*6) = 5√6

2007-11-11 20:08:35 · answer #2 · answered by ironduke8159 7 · 0 0

1. 15√240= 60√15
2. 8√3
3. 5√6

2007-11-11 20:06:05 · answer #3 · answered by norman 7 · 0 0

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