Simplify the expression completely. 5root(3)(1)+sqrt49+root(3)(-125) Answer:

Simplify Term 1: Simplify each term in the expression separately. For the first term, 5root(3)(1), we are looking for the cube root of 1, which is 1. Multiplying this by 5 gives us 5.Simplify Term 2: Simplify the second term, sqrt(49). The square root of 49 is 7, since 7 * 7 = 49.Simplify Term 3: Simplify the third term, root(3)(-125). The cube root of -125 is -5, since (-5) * (-5) * (-5) = -125.Combine Terms: Combine the simplified terms. Now we add the results from steps 1, 2, and 3 together: 5 + 7 + (-5).Perform Addition: Perform the addition. 5 + 7 + (-5) = 12 - 5 = 7.

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Simplify the expression completely.

5root(3)(1)+sqrt49+root(3)(-125)
Answer:

Simplify the expression completely. $\newline$ $5 \sqrt[3]{1}+\sqrt{49}+\sqrt[3]{-125}$ $\newline$ Answer:

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Algebra 2

Roots of rational numbers

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Q. Simplify the expression completely.

\newline

5 \sqrt[3]{1}+\sqrt{49}+\sqrt[3]{-125}

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Answer:

Simplify Term $1$ : Simplify each term in the expression separately. $\newline$ For the first term, $5\sqrt[3]{1}$ , we are looking for the cube root of $1$ , which is $1$ . Multiplying this by $5$ gives us $5$ .
Simplify Term $2$ : Simplify the second term, $\sqrt{49}$ . The square root of $49$ is $7$ , since $7 \times 7 = 49$ .
Simplify Term $3$ : Simplify the third term, $\sqrt[3]{-125}$ . The cube root of $-125$ is $-5$ , since $(-5) \times (-5) \times (-5) = -125$ .
Combine Terms: Combine the simplified terms. $\newline$ Now we add the results from steps $1$ , $2$ , and $3$ together: $5 + 7 + (-5)$ .
Perform Addition: Perform the addition. $5 + 7 + (-5) = 12 - 5 = 7$ .