Which value is closest to 5root(3)(26) ? A. 5 B. 15 C. 25 D. 45

Estimate Cube Root: We need to estimate the cube root of 26 and then multiply it by 5 to find the value closest to $5\sqrt[3]{26}$. First, let's find two perfect cubes that are close to 26. We know that $2^3 = 8$ and $3^3 = 27$. Since 26 is very close to 27, we can estimate that $\sqrt[3]{26}$ is slightly less than 3.Find Closest Value: Now, we multiply our estimated cube root by 5. $5 \times 3 = 15$ This gives us an estimated value of 15 for $5\sqrt[3]{26}$.Compare with Options: We compare our estimated value with the options provided. A. 5 B. 15 C. 25 D. 45 Our estimated value of 15 is exactly one of the options, so we can confidently choose option B.

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Math Problems

Grade 4

Rounding: up to millions place

Full solution

1

. Which value is closest to

5 \sqrt[3]{26}

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5

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15

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25

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45

Estimate Cube Root: We need to estimate the cube root of $26$ and then multiply it by $5$ to find the value closest to $5\sqrt[3]{26}$ . $\newline$ First, let's find two perfect cubes that are close to $26$ . We know that $2^3 = 8$ and $3^3 = 27$ . $\newline$ Since $26$ is very close to $27$ , we can estimate that $\sqrt[3]{26}$ is slightly less than $3$ .
Find Closest Value: Now, we multiply our estimated cube root by $5$ . $\newline$ $5 \times 3 = 15$ $\newline$ This gives us an estimated value of $15$ for $5\sqrt[3]{26}$ .
Compare with Options: We compare our estimated value with the options provided. $\newline$ A. $5$ $\newline$ B. $15$ $\newline$ C. $25$ $\newline$ D. $45$ $\newline$ Our estimated value of $15$ is exactly one of the options, so we can confidently choose option B.