Enter square root or exponent statement:


  

Evaluate the following

3124048

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

We have a product of 4 square root terms

The product of square roots is equal to the square root of the products

3124048 = √3*12*40*48

3124048 = √69120

Simplify √69120.

Checking square roots, we see that

2622 = 68644 and 2632 = 69169

Our answer in decimal format is between 262 and 263

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 69120

Check for integer square root values below:

69120 = √169120

69120 = √234560

69120 = √323040

69120 = √417280

69120 = √513824

69120 = √611520

69120 = √88640

69120 = √97680

69120 = √106912

69120 = √125760

69120 = √154608

69120 = √164320

69120 = √183840

69120 = √203456

69120 = √242880

69120 = √272560

69120 = √302304

69120 = √322160

69120 = √361920

69120 = √401728

69120 = √451536

69120 = √481440

69120 = √541280

69120 = √601152

69120 = √641080

69120 = √72960

69120 = √80864

69120 = √90768

69120 = √96720

69120 = √108640

69120 = √120576

69120 = √128540

69120 = √135512

69120 = √144480

69120 = √160432

69120 = √180384

69120 = √192360

69120 = √216320

69120 = √240288

69120 = √256270

From that list, the highest factor with an integer square root is 2304

Therefore, we use the product combo √69120 = √230430

Evaluating square roots, we see that √2304 = 48

Simplifying our product of radicals, we get our answer:

Group square root terms for 48

48√30


Final Answer:

48√30


You have 2 free calculationss remaining




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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