248

Enter square root or exponent statement:

Evaluate √248

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

Simplify √248.

Checking square roots, we see that 152 = 225 and 162 = 256.
Our answer in decimal format is between 15 and 16
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 248 checking for integer square root values below:
√248 = √1√248
√248 = √2√124
√248 = √4√62
√248 = √8√31

From that list, the highest factor that has an integer square root is 4.
Therefore, we use the product combo √248 = √4√62
Evaluating square roots, we see that √4 = 2

Simplifying our product of radicals, we get our answer:
√248 = 2√62

Group square root terms for 2

2√62

Build final answer:

2√62

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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