TOOL: SQUARE ROOT SIMPLIFIER WITH STEPS

SQUARE ROOT SIMPLIFIER WITH STEPS

RESULT

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DESCRIPTIONS

The prime factorization of the radicand is 24 = 23 . 3. We replace 24 with its prime factorization.

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Next, we work on the factors of the radicand, one by one.

• 23 can be written as 22 . 2. In this expression, 22 is a squared number. It can be taken out of the square root as 2. The other factor 2 is not a squared number.

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• 3 is not a squared number. It can not be taken out of the square root.

Product of the factors in the square root is equal to the radicand of the simplified form.

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As a result, ... is simplified to ....

OTHER INFORMATION

👉 ...

👉 ... is an irrational number.

👉 The closest integer to ... is 5. (Click here for details.)

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INFORMATION

SIMPLIFYING A SQUARE ROOT

Simplifying a square root means taking all perfect square factors of the radicand out of the square root.

Assume a2 is a perfect square factor of the radicand. This factor can be taken out of the square root by dividing the radicand by a2 and multiplying the expression by a.

In the simplest form of a square root, the radicand does not have any squared factors. Squared factors of the radicand can be found by factorizing it. In the prime factorization of the radicand, any factor with an even power is a perfect square. Additionaly, any factor with an odd power greater than 1 can be written as a product of the prime factor with a perfect square. For example, 27 can be written as 2 . 26 where 26 is a perfect square whose square root is equal to 23.

WHAT IS SQUARE ROOT SIMPLIFIER WITH STEPS?

Square root simplifier,

• Finds the simplest form of an entered square root,
• Describes all solution steps and

HOW TO USE SQUARE ROOT SIMPLIFIER WITH STEPS?

You can use the square root simplifier in two ways.

• USER INPUTS

You can enter the radicand to the input box and click on the "SIMPLIFY" button. The result and explanations appaer below the calculator

• RANDOM INPUTS

You can click on the DIE ICON next to the input box. If you use this property, a random number is generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• CLEARING THE INPUT BOX

To check the simplest form of another square root you can clear the input box by clicking on the CLEAR button under the input box.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.