Q:

# What is the simplified square root of 24?

A:

The simplified square root of 24 is 2 multiplied by the square root of 6, which can also be written as 2 sqrt (6). The square root of 24 is simplified by expressing it as a multiplication of the factors 4 and 6. The sqrt (4 x 6) is equivalent to sqrt (24).

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This expression can be rewritten as sqrt(4) x sqrt(6). Since 4 is a perfect square given as 22, the square root of 22, which is 2, is rewritten as the expression 2 sqrt(6). The equivalency of sqrt(24) and 2 sqrt(6) can be verified with a scientific calculator. These two square root expressions are equal and give the value of 4.89898.

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