Enter square root or exponent statement:
Evaluate the following
√256
Term 1 has a square root, so we evaluate and simplify:
Simplify √256.
If you use a guess and check method, you see that 152 = 225 and 172 = 289.Since 225 < 256 < 289 the next logical step would be checking 162.
162 = 16 x 16
162 = 256 <--- We match our original number!!!
Therefore, √256 = ±16
The principal root is the positive square root, so we have a principal root of 16
Group constants
16 = 16
Build final answer:
16
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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 exista/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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