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leonid [27]
3 years ago
15

What is the following quotient? Sqrt 96/ Sqrt 8

Mathematics
2 answers:
Westkost [7]3 years ago
7 0

Answer:

The quotient of given expression is 2√3.

Step-by-step explanation:

The given expression is

\frac{\sqrt{96}}{\sqrt{8}}

According to the properties of radical expressions.

\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}

Using this property, we get

\frac{\sqrt{96}}{\sqrt{8}}=\sqrt{\frac{96}{8}}

Cancel out the common factors.

\frac{\sqrt{96}}{\sqrt{8}}=\sqrt{12}

\frac{\sqrt{96}}{\sqrt{8}}=\sqrt{4\times 3}

\frac{\sqrt{96}}{\sqrt{8}}=\sqrt{2^2\times 3}

\frac{\sqrt{96}}{\sqrt{8}}=2\sqrt{3}

Therefore the quotient of given expression is 2√3.

Jobisdone [24]3 years ago
3 0

Radicals cannot exist as a denominator, so you would multiply both Sqrt96 and Sqrt8 by the Sqrt8, giving you Sqrt768 over 8 (since a sqrt times itself is the base number, in this case 8) then you would simplify Sqrt768 into 16 x Sqrt3, leaving you with 16xSqrt3 over 8. simplify into 2Sqrt3 by dividing.

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