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Enter radical expression
Simplify √243Simplify √243.
Checking square roots, we see that 152 = 225 and 162 = 256.
Our answer is not an integer.
Simplify it into the product of an integer and a radical.
List each product combo of 243
checking for integer square root values below:
√243 = √1√243
√243 = √3√81
√243 = √9√27
From that list, the highest factor that has an integer square root is 81.
Therefore, we use the product combo √243 = √81√3
Evaluating square roots, we see that √81 = 9
Simplify our product
√243 = 9√3Therefore, we can factor out 9 from the radical, and leave 3 under the radical
We can factor out the following portion using the highest even powers of variables:
√ = =Our leftover piece under the radical becomes 9√3
Our final answer is the factored out piece and the expression under the radical
9√3
What is the Answer?
How does the Radical Expressions Calculator work?
Free Radical Expressions Calculator - Evaluates and simplifies radical expressions. Simplifying radical expressions.
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What 4 formulas are used for the Radical Expressions Calculator?
List out all factor products for SFind the highest factor with an integer square root and multiply the square root by the other square root of the factor
For more math formulas, check out our Formula Dossier
What 3 concepts are covered in the Radical Expressions Calculator?
radicalThe √ symbol that is used to denote square root or nth roots√radical expressionsan nth root of a number x is a number r which, when raised to the power n, yields x
n√xsquare roota factor of a number that, when multiplied by itself, gives the original number
√x
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