Combine and simplify these radicals. square root of 8 times square root of 20

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07-03-2018
Mathematics

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Combine and simplify these radicals. square root of 8 times square root of 20

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jcherry99 jcherry99 · Answer 1 · 2018-03-08T09:23:51+01:00

jcherry99 jcherry99

08-03-2018

sqrt(8) = sqrt(2 * 2 * 2) = 2 sqrt(2)
sqrt(20) = sqrt(2 * 2 * 5) = 2 sqrt(5)
Now multiply
2*sqrt(2) * 2 sqrt(5)
= 2 * 2 * sqrt(2) * sqrt(5)
= 4 sqrt(10)

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martin58853 martin58853 · Answer 2 · 2020-03-25T01:42:40+01:00

martin58853 martin58853

25-03-2020

Answer:

√8 * √20 = 4√10

Step-by-step explanation:

√8 * √20= √(4*2) * √(4*5)

√8 * √20 = (√4)(√2)*(√4)(√5)

√8 * √20 = (2)(√2)*(2)(√5)

√8 *√20 = (2*2)(√2*√5)

√8 * √20 = (4)(√(2*5)

√8 * √20 = 4√10

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