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

Simplify √124.

Checking square roots, we see that 11^{2} = 121 and 12^{2} = 144. Our answer in decimal format is between 11 and 12 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 124 checking for integer square root values below: √124 = √1√124 √124 = √2√62 √124 = √4√31

From that list, the highest factor that has an integer square root is 4. Therefore, we use the product combo √124 = √4√31 Evaluating square roots, we see that √4 = 2

Simplifying our product of radicals, we get our answer: √124 = 2√31

Group square root terms for 2

2√31

Build final answer:

2√31

How does the Square Roots and Exponents Calculator work?

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 x^{th} power denoted as n^{x} (Write without exponents)
* n raised to the x^{th} power raised to the yth power denoted as (n^{x})^{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 This calculator has 1 input.

What 3 formulas are used for the Square Roots and Exponents Calculator?