Mathematics: Which expression is equivalent to sqrt2/^3sqrt2

Which expression is equivalent to sqrt2/^3sqrt2

Ответ:

rodolfoperezzz1332

12.03.2022

The given expression is $\frac{\sqrt{2}}{\sqrt[3]{2}}$

This can be simplified using the radical properties as below

$\\\ \frac{\sqrt{2}}{\sqrt[3]{2}}=\frac{2^{\frac{1}{2}}}{2^\frac{1}{3}} \\\\ \frac{\sqrt{2}}{\sqrt[3]{2}}=\frac{2^{\frac{1}{2}}}{2^\frac{1}{3}} \\\\$

Now using exponent properties we can write

$\\\ \frac{\sqrt{2}}{\sqrt[3]{2}}=\frac{2^{\frac{1}{2}}}{2^\frac{1}{3}}=2^{\frac{1}{2}-\frac{1}{3}} \\\\\frac{\sqrt{2}}{\sqrt[3]{2}}=2^{\frac{3-2}{6}}=2^\frac{1}{6}\\\\= \sqrt[6]{2}\\$

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Ответ:

cxndii13

28.05.2020

Mathematics

$800

Step-by-step explanation:

Let x represent the original price of the speakers.

$34 more than one quarter of the original price can be represented by 1/4x + 34.

Set this equal to 234, the price he paid, to create an equation.

1/4x + 34 = 234 is the equation for the problem.

Solve for x in the equation:

1/4x + 34 = 234

1/4x = 200

x = 800

So, the original price of the speakers was $800

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Which expression is equivalent to sqrt2/^3sqrt2

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