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How can i simplify √320x³

User Ngen
by
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1 Answer

4 votes

Answer:

8x * sqrt(5x)

Explanation:

Factor 320 into its prime factors: (2^6) * 5

To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside

Take sqrt of factors being extracted: sqrt64= 8

Now it looks like this: 8 * sqrt(5x^3)

SQRT(x^3) is the same as x * SQRT(x)

Therefore, sqrt (320x^3)= 8x*sqrt(5x)

User Rob Squires
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