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Anni [7]
3 years ago
10

Which expression is equivalent to the radical expression shown below when it is simplified?

Mathematics
1 answer:
babymother [125]3 years ago
8 0

Answer:

\sqrt{\frac{3}{64} } in simplified form is \frac{\sqrt{3}}{8}

Step-by-step explanation:

We need to solve the expression

\sqrt{\frac{3}{64} }

We know that \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}

and 64 = 8*8

Solving we get

=\frac{\sqrt{3}}{\sqrt{64}}\\=\frac{\sqrt{3}}{\sqrt{8*8}}\\=\frac{\sqrt{3}}{\sqrt{8^2}}\\=\frac{\sqrt{3}}{8}

So \sqrt{\frac{3}{64} } in simplified form is \frac{\sqrt{3}}{8}

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Answer:

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Step-by-step explanation:

3(x-6)+5(x-4)

Distribute

3x- 18+5x -20

Combine like terms

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8x- 38

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Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

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For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}

<em>Now we can use property of radical  \sqrt{x}\sqrt{y}  =\sqrt{x*y}  to simplify:</em>

x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}

Correct answer is C

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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