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Popular >

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

Solution

simplify

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

Solution

\frac{25}{2}

+1

Decimal Notation

12.5

Solution steps

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

Apply exponent rule:

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

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

(52)^{2} = 50

= \frac{50}{2 ^{2}}

2^{2} = 4

= \frac{50}{4}

Cancel the common factor:

2

= \frac{25}{2}

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Frequently Asked Questions (FAQ)

What is ((5sqrt(2))/2)^2 ?
The solution to ((5sqrt(2))/2)^2 is 25/2