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Why is the square root of 128 8 root 2?

Updated: 4/28/2022
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11y ago

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128 = 8*8*2

so sqrt(128) = sqrt(8*8*2) = sqrt(8*8)*sqrt(2)

= sqrt(82)*sqrt(2)

= 8*sqrt(2) since the sqrt of a square is the number itself.

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11y ago
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Q: Why is the square root of 128 8 root 2?
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What is the square root of 128?

The square root of 128 is 8 times the square root of 2 because it's an irrational number. An estimate is 11.313708498984760390413509793678


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2 is the same as the square root of 4. Square root of 4 multiplied by square root of 2 is equal to the square root of 8.


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