Enter square root or exponent statement:


  

Evaluate the following

300

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

Simplify √300.

Checking square roots, we see that

172 = 289 and 182 = 324

Our answer in decimal format is between 17 and 18

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 300

Check for integer square root values below:

300 = √1300

300 = √2150

300 = √3100

300 = √475

300 = √560

300 = √650

300 = √1030

300 = √1225

300 = √1520

From that list, the highest factor with an integer square root is 100

Therefore, we use the product combo √300 = √1003

Evaluating square roots, we see that √100 = 10

Simplifying our product of radicals, we get our answer:

Group square root terms for 10

10√3


Final Answer:

10√3


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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?

√n2 = ±n



For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Square Roots and Exponents Calculator?

exponent
The power to raise a number
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
power
how many times to use the number in a multiplication
square root
a factor of a number that, when multiplied by itself, gives the original number
√x
square roots and exponents
Example calculations for the Square Roots and Exponents Calculator

Square Roots and Exponents Calculator Video


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