Divide $12.00 by 16 or find the quotient of an equivalent

Mathematics

1 answer:

IgorLugansk [536]3 years ago

8 0

The answer is two. Six goes into Twelve two times

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What is the following quotient? StartFraction 3 StartRoot 8 EndRoot Over 4 StartRoot 6 EndRoot EndFraction.

Snowcat [4.5K]

You can simplify the given expression by taking out those factors who are perfect squares.

The simplified form of the given expression will be $\dfrac{\sqrt{3}}{2}$

<h3>How to simplify values which are under the root?</h3>

If possible, try to defactor what is inside the root.

For example, if 8 is under square root, then you can defactor 8 as made up of 2 times 2 times 2. Since 2 times 2 is perfect square, thus this can come out of the root.

Simply, some more such methods can be used to simplify these type of values.

<h3>Using the simplification method on given expression</h3>

$\dfrac{3\sqrt{8}}{4\sqrt{6}} = \dfrac{3\sqrt{2 \times 2 \times 2}}{4\sqrt{6}}\\\\
\dfrac{3\sqrt{8}}{4\sqrt{6}} = \dfrac{3 \times 2\sqrt{2}}{4\sqrt{6}}\\

\\
\dfrac{3\sqrt{8}}{4\sqrt{6}} = \dfrac{6\sqrt{2}}{4\sqrt{6}} = \dfrac{\sqrt{6}\sqrt{2}}{4}\\\\
\dfrac{3\sqrt{8}}{4\sqrt{6}} = \dfrac{\sqrt{12}}{4} = \dfrac{\sqrt{4 \times 3}}{4} = \dfrac{\sqrt{3}}{2}$