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3 years ago

PLEASE ANSWER THIS!! 16 POINTS! (2/3)*2 + 1/2

Mathematics

2 answers:

alexira [117]3 years ago

5 0

Answer:

=7/6

Step-by-step explanation:

Join 4/3=1:7/3

7/3/2

Apply the fraction rule:=

7/3x2

Multiply the numbers=

7/6

Phantasy [73]3 years ago

5 0

7/6 might be the answer but im not sure

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3 years ago

Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.

Pavlova-9 [17]

<h3>Answer: 4</h3>

========================================================

Work Shown:

$\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4$

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that $\sqrt{A*B} = \sqrt{A}*\sqrt{B}$ to break up the roots.

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