sqrt8(2sqrt2+8) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 16 (B) 40 (C) 8+16sqrt2 (D) 32+8sqrt8

Simplify expression inside parentheses: First, we will simplify the expression inside the parentheses by multiplying the square root of 8 with each term inside the parentheses. The expression is sqrt(8)(2sqrt(2)+8). Calculate first term: We calculate the first term by multiplying sqrt(8) with 2sqrt(2), which gives us 2 * sqrt(8) * sqrt(2). Since sqrt(8) = sqrt(4*2) = sqrt(4)*sqrt(2) = 2sqrt(2), we can simplify the expression to 2 * 2sqrt(2) * sqrt(2). Simplify first term: We know that sqrt(2) * sqrt(2) = 2. So, the first term becomes 2 * 2 * 2, which equals 8. Calculate second term: Now, we calculate the second term by multiplying sqrt(8) with 8. Since we already know that sqrt(8) = 2sqrt(2), the second term becomes 2sqrt(2) * 8. Multiply second term: Multiplying 2sqrt(2) by 8 gives us 16sqrt(2). So, the second term is 16sqrt(2). Add the two terms: Adding the two terms together, we get 8 + 16sqrt(2). This is the simplified form of the original expression. Compare with answer choices: Comparing the simplified expression with the answer choices, we find that it matches with option (C) 8+16sqrt(2).

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sqrt8(2sqrt2+8)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A) 16
(B) 40
(C)
8+16sqrt2
(D)
32+8sqrt8

$\sqrt{8}(2 \sqrt{2}+8)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $16$ $\newline$ (B) $40$ $\newline$ (C) $8+16 \sqrt{2}$ $\newline$ (D) $32+8 \sqrt{8}$

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Algebra 2

Is (x, y) a solution to the system of equations?

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\sqrt{8}(2 \sqrt{2}+8)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

16

\newline

(B)

40

\newline

(C)

8+16 \sqrt{2}

\newline

(D)

32+8 \sqrt{8}

Simplify expression inside parentheses: First, we will simplify the expression inside the parentheses by multiplying the square root of $8$ with each term inside the parentheses. The expression is $\sqrt{8}(2\sqrt{2}+8)$ .
Calculate first term: We calculate the first term by multiplying $\sqrt{8}$ with $2\sqrt{2}$ , which gives us $2 \times \sqrt{8} \times \sqrt{2}$ . Since $\sqrt{8} = \sqrt{4\times2} = \sqrt{4}\times\sqrt{2} = 2\sqrt{2}$ , we can simplify the expression to $2 \times 2\sqrt{2} \times \sqrt{2}$ .
Simplify first term: We know that $\sqrt{2} \times \sqrt{2} = 2$ . So, the first term becomes $2 \times 2 \times 2$ , which equals $8$ .
Calculate second term: Now, we calculate the second term by multiplying $\sqrt{8}$ with $8$ . Since we already know that $\sqrt{8} = 2\sqrt{2}$ , the second term becomes $2\sqrt{2} \times 8$ .
Multiply second term: Multiplying $2\sqrt{2}$ by $8$ gives us $16\sqrt{2}$ . So, the second term is $16\sqrt{2}$ .
Add the two terms: Adding the two terms together, we get $8 + 16\sqrt{2}$ . This is the simplified form of the original expression.
Compare with answer choices: Comparing the simplified expression with the answer choices, we find that it matches with option (C) $8+16\sqrt{2}$ .