sqrt(32)

Publish date: 2024-05-02
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Enter square root or exponent statement:

Evaluate √32
Term 1 has a square root, so we evaluate and simplify:

Simplify √32.

Checking square roots, we see that 52 = 25 and 62 = 36.
Our answer in decimal format is between 5 and 6
Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

We do this by listing each product combo of 32 checking for integer square root values below:
√32 = √1√32
√32 = √2√16
√32 = √4√8

From that list, the highest factor that has an integer square root is 16.
Therefore, we use the product combo √32 = √16√2
Evaluating square roots, we see that √16 = 4

Simplifying our product of radicals, we get our answer:
√32 = 4√2

Group square root terms for 4

4√2


Build final answer:

4√2


How does the Square Roots and Exponents Calculator work?

Free Square Roots and Exponents Calculator - Given a number (n), or a fraction (n/m), and/or an exponent (x), or product of up to 5 radicals, this determines the following:
* The square root of n denoted as √n
* The square root of the fraction n/m denoted as √n/m
* n raised to the xth power denoted as nx (Write without exponents)
* n raised to the xth power raised to the yth power denoted as (nx)y (Write without exponents)
* Product of up to 5 square roots: √a√b√c√d√e
* Write a numeric expression such as 8x8x8x8x8 in exponential form
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What 3 formulas are used for the Square Roots and Exponents Calculator?

What 5 concepts are covered in the Square Roots and Exponents Calculator?

exponentThe power to raise a numberfractionhow many parts of a certain size exist
a/b where a is the numerator and b is the denominatorpowerhow many times to use the number in a multiplicationsquare roota factor of a number that, when multiplied by itself, gives the original number
√xsquare roots and exponents

Example calculations for the Square Roots and Exponents Calculator

Square Roots and Exponents Calculator Video


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