 # sqrt(5)sqrt(7)

Evaluate √57

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

We have a product of 2 square root terms
The product of square roots is equal to the square root of the products
57 = √5*7
57 = √35
Simplify √35.

Checking square roots, we see that 52 = 25 and 62 = 36.
Our answer in decimal format is between 5 and 6
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 35 checking for integer square root values below:
35 = √135
35 = √57

From that list, the highest factor that has an integer square root is 1.
Therefore, we use the product combo √35 = √135
Evaluating square roots, we see that √1 = 1

Since 1 is the greatest common factor, this square root cannot be simplified any further:

35 = 35

## Group square root terms for 1

1√35

1√35

### 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 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?

1. √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