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Popular >

simplify ((2sqrt(5))/5)^2

Solution

simplify

(\frac{2 5}{5})^{2}

Solution

\frac{4}{5}

+1

Decimal Notation

0.8

Solution steps

(\frac{2 5}{5})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 5 ) ^{2}}{5 ^{2}}

(25)^{2} = 20

= \frac{20}{5 ^{2}}

5^{2} = 25

= \frac{20}{25}

Cancel the common factor:

5

= \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is ((2sqrt(5))/5)^2 ?
The solution to ((2sqrt(5))/5)^2 is 4/5