What is ((sqrt(5))/(sqrt(10)))^2 ?

The solution to ((sqrt(5))/(sqrt(10)))^2 is 1/2

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simplify ((sqrt(5))/(sqrt(10)))^2

simplify

(\frac{5}{10})^{2}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

(\frac{5}{10})^{2}

Apply exponent rule:

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

= \frac{( 5 ) ^{2}}{( 10 ) ^{2}}

(10)^{2} = 10

= \frac{( 5 ) ^{2}}{10}

(5)^{2} = 5

= \frac{5}{10}

Cancel the common factor:

5

= \frac{1}{2}

2 x^{2} x^{2}

0.00 5^{2}

2 6^{4}

- 3 - \frac{2}{3}

- \frac{2}{3} \cdot (- 2)

What is ((sqrt(5))/(sqrt(10)))^2 ?
The solution to ((sqrt(5))/(sqrt(10)))^2 is 1/2