How do you simplify: square root of 20?

Question

Bertha Jordan · Accepted Answer

Explanation:  Here we prime factorise 20 in order to simplify the expression  20=2⋅2⋅5  =22⋅5  =25

Fasaniu · Accepted Answer

Rewrite 20 as 22⋅5  Factor 4 out of 20.  4(5)  Rewrite 4 as 22  22⋅5  Pull terms out from under the radical.  25  The result can be shown in multiple forms.  Exact Form:  25  Decimal Form:  4.47213595…

RizerMix · Accepted Answer

Here we will show you step-by-step how to simplify the square root of 20. The square root of 20 can be written as follows:
$\sqrt{20}$
Step 1: List Factors
List the factors of 20 like so:
1,2,4,5,10,20
Step 2: Find Perfect Squares
Identify the perfect squares from the lis of factors above
1,4
Step 3: Divide
Divide 20 by the largest perfect square you found in the previous step:
$\frac{20}{4} = 5$
Step 4: Calculate
Calculate the square root of the largest perfect square:
$\sqrt{4} = 2$
Step 5: Get answer
Put Steps 3 and 4 together to get the square root of 20 in its simplest form:
$2 \sqrt{5}$

How do you simplify: square root of 20?

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