Enter square root or exponent statement:
Evaluate √8192Term 1 has a square root, so we evaluate and simplify:
Simplify √8192.
Checking square roots, we see that 902 = 8100 and 912 = 8281.Our answer in decimal format is between 90 and 91
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 8192 checking for integer square root values below:
√8192 = √1√8192
√8192 = √2√4096
√8192 = √4√2048
√8192 = √8√1024
√8192 = √16√512
√8192 = √32√256
√8192 = √64√128
From that list, the highest factor that has an integer square root is 4096.
Therefore, we use the product combo √8192 = √4096√2
Evaluating square roots, we see that √4096 = 64
Simplifying our product of radicals, we get our answer:
√8192 = 64√2
Group square root terms for 64
64√2
Build final answer:
64√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 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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