QuestionAugust 26, 2025

50. (2sqrt [3](27)+sqrt (16))/(sqrt (25))

50. (2sqrt [3](27)+sqrt (16))/(sqrt (25))
50. (2sqrt [3](27)+sqrt (16))/(sqrt (25))

Solution
4.5(270 votes)

Answer

2 Explanation 1. Simplify the cube root \sqrt[3]{27} = 3 because 3^3 = 27. 2. Simplify the square roots \sqrt{16} = 4 because 4^2 = 16; \sqrt{25} = 5 because 5^2 = 25. 3. Substitute and simplify the expression Substitute the simplified values into the expression: \frac{2 \times 3 + 4}{5}. 4. Calculate the numerator 2 \times 3 + 4 = 6 + 4 = 10. 5. Divide to find the final result \frac{10}{5} = 2.

Explanation

1. Simplify the cube root<br /> $\sqrt[3]{27} = 3$ because $3^3 = 27$.<br /><br />2. Simplify the square roots<br /> $\sqrt{16} = 4$ because $4^2 = 16$; $\sqrt{25} = 5$ because $5^2 = 25$.<br /><br />3. Substitute and simplify the expression<br /> Substitute the simplified values into the expression: $\frac{2 \times 3 + 4}{5}$.<br /><br />4. Calculate the numerator<br /> $2 \times 3 + 4 = 6 + 4 = 10$.<br /><br />5. Divide to find the final result<br /> $\frac{10}{5} = 2$.
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