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Which expression is equivalent to sqrt (3) A 2^(1)/(3) B 3^(1)/(2) C ((1)/(2))^3 D ((1)/(3))^2 A B C D

Pergunta

Which expression is equivalent to sqrt (3)
A 2^(1)/(3)
B 3^(1)/(2)
C
((1)/(2))^3
D
((1)/(3))^2
A
B
C
D

Which expression is equivalent to sqrt (3) A 2^(1)/(3) B 3^(1)/(2) C ((1)/(2))^3 D ((1)/(3))^2 A B C D

Solução

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JonathanElite · Tutor por 8 anos

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To determine which expression is equivalent to $\sqrt{3}$, we need to evaluate each option and see if it simplifies to $\sqrt{3}$.<br /><br />Let's evaluate each option:<br /><br />A. $2^{\frac{1}{3}}$: This expression represents the cube root of 2, which is not equal to $\sqrt{3}$.<br /><br />B. $3^{\frac{1}{2}}$: This expression represents the square root of 3, which is equal to $\sqrt{3}$.<br /><br />C. $(\frac{1}{2})^{3}$: This expression represents the cube of $\frac{1}{2}$, which is not equal to $\sqrt{3}$.<br /><br />D. $(\frac{1}{3})^{2}$: This expression represents the square of $\frac{1}{3}$, which is not equal to $\sqrt{3}$.<br /><br />Therefore, the correct answer is B. $3^{\frac{1}{2}}$ is equivalent to $\sqrt{3}$.
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