sqrt(2)

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Enter square root or exponent statement:

Evaluate the following

2

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

Simplify √2.

Checking square roots, we see that

12 = 1 and 22 = 4

Our answer in decimal format is between 1 and 2

Our answer is not an integer

Simplify it into the product of an integer and a radical.

We do this by listing each product combo of 2

Check for integer square root values below:

2 = √12

From that list, the highest factor with an integer square root is 1

Therefore, we use the product combo √2 = √12

Evaluating square roots, we see that √1 = 1

Since 1 is the greatest common factor, this square root cannot be simplified any further:
Multiply by our constant of 1
2 = 2
Group square root terms for 1

1√2


Build final answer:

1√2

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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: √abcde
* Write a numeric expression such as 8x8x8x8x8 in exponential form
This calculator has 1 input.

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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