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sukhopar [10]
3 years ago
12

Which expression is equivalent to 4 square root 6 divided by 3 root 2

Mathematics
2 answers:
denis-greek [22]3 years ago
7 0

Answer:

The expression is equivalent to 4 square root 6 divided by 3 root 2 is:

8/3

Step-by-step explanation:

Given expression:

4 square root 6 divided by 3 root 2

\frac{4\sqrt{6}}{3\sqrt{2} }

=\frac{4\sqrt{2*2*2}}{3\sqrt{2} }

=\frac{4\sqrt{2*2^{2} }}{3\sqrt{2} }

square root of 2² = 2 hence,

=\frac{4*2\sqrt{2}}{3\sqrt{2} }

=\frac{8\sqrt{2}}{3\sqrt{2} }

Common terms in the numerator and denominator cancels each other out

=\frac{8}{3}

By solving the expression using simple mathematical rules, we got an equivalent expression of

\frac{4\sqrt{6}}{3\sqrt{2} } = \frac{8}{3}

mezya [45]3 years ago
7 0

Answer:

\frac{4\sqrt{3} }{3}

Step-by-step explanation:

Find a common factor between the numerator and the denominator, so that they may cancel out one another.

\frac{4\sqrt{6} }{3\sqrt{2} } \\\\=\frac{4\sqrt{3*2} }{3\sqrt{2} } \\\\=\frac{4\sqrt{3}\sqrt{2}  }{3\sqrt{2} }

Then by cancelling out the square root of 2:

\frac{4\sqrt{3} }{3}

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