sqrt(225)

Publish date: 2024-05-07
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Enter square root or exponent statement:

Evaluate √225
Term 1 has a square root, so we evaluate and simplify:

Simplify √225.

If you use a guess and check method, you see that 142 = 196 and 162 = 256.
Since 196 < 225 < 256 the next logical step would be checking 152.

152 = 15 x 15
152 = 225 <--- We match our original number!!!
Therefore, √225 = ±15

The principal root is the positive square root, so we have a principal root of 15

Group constants

15 = 15


Build final answer:

15


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: √abcde
* 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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