# How To Simplify Radicals Into Decimals

Radicals, which are the roots of numbers, are an important concept in algebra that will continue to come up throughout upper-level math and engineering classes. If you have a memory for perfect squares and cubes, then certain kinds of radicals will have very familiar answers. For instance, SQRT(4) is 2 and SQRT(81) is 9. When working with radicals that you want to simplify to decimals, you either need to remember the decimal equivalent with the radical — which will happen when you work with radicals frequently over a long period of time — or you need a calculator.

### Step 1

Separate the radical into its constituent perfect squares and cubes, if relevant. If working with the square root of 50, for instance, you may rewrite SQRT(50) as SQRT(25)*SQRT(2), equal to 5*SQRT(2).

### Step 2

Recall the value of SQRT(2), or look it up in a table of radicals. SQRT(2) is approximately equal to 1.41, so you may multiply 5 by 1.41, by hand or by calculator, to obtain 7.05.

### Step 3

Plug SQRT(50) into a scientific or graphing calculator, to check the conversion that you carried out in Step 2.

### Cite This Article

#### MLA

Lobo, Tricia. "How To Simplify Radicals Into Decimals" *sciencing.com*, https://www.sciencing.com/simplify-radicals-decimals-8540929/. 4 June 2011.

#### APA

Lobo, Tricia. (2011, June 4). How To Simplify Radicals Into Decimals. *sciencing.com*. Retrieved from https://www.sciencing.com/simplify-radicals-decimals-8540929/

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Lobo, Tricia. How To Simplify Radicals Into Decimals last modified March 24, 2022. https://www.sciencing.com/simplify-radicals-decimals-8540929/