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Select all the expressions that are equivalent to (sqrt (726))/(sqrt (3)) 22 sqrt (242) (11sqrt (2))/(sqrt (3)) generation 11sqrt (2) 11sqrt (3) 2sqrt (181) sqrt ((726)/(3))

Pergunta

Select all the expressions that are equivalent to (sqrt (726))/(sqrt (3))
22
sqrt (242)
(11sqrt (2))/(sqrt (3))
generation 11sqrt (2)
11sqrt (3)
2sqrt (181)
sqrt ((726)/(3))

Select all the expressions that are equivalent to (sqrt (726))/(sqrt (3)) 22 sqrt (242) (11sqrt (2))/(sqrt (3)) generation 11sqrt (2) 11sqrt (3) 2sqrt (181) sqrt ((726)/(3))

Solução

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QuitériaMestre · Tutor por 5 anos

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To find the expressions equivalent to $\frac {\sqrt {726}}{\sqrt {3}}$, we can simplify the given expression step by step.<br /><br />Step 1: Simplify the given expression<br />$\frac {\sqrt {726}}{\sqrt {3}} = \sqrt {\frac {726}{3}}$<br /><br />Step 2: Simplify the fraction inside the square root<br />$\sqrt {\frac {726}{3}} = \sqrt {242}$<br /><br />Step 3: Simplify the square root of 242<br />$\sqrt {242} = \sqrt {2 \times 121} = \sqrt {2 \times 11^2} = 11\sqrt {2}$<br /><br />Therefore, the expressions equivalent to $\frac {\sqrt {726}}{\sqrt {3}}$ are:<br />- $\sqrt {242}$<br />- $\frac {11\sqrt {2}}{\sqrt {3}}$<br />- $\sqrt {\frac {726}{3}}$<br /><br />So, the correct options are:<br />$\sqrt {242}$, $\frac {11\sqrt {2}}{\sqrt {3}}$, and $\sqrt {\frac {726}{3}}$.
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