Mathematics: Enter the fraction as a decimal and as a percent. the decimal equivalent of 3/20 is and the percent equivalent is

Explanation:The problem we are given isWe can write the square root of a fraction as a fraction with a separate radical for the numerator and denominator; this gives usWe can write the whole number 4 as the fraction 4/1; this gives usWe now need to rationalize the denominator. This means we need to cancel the square root in the denominator. In order to do this, we multiply both numerator and denominator by √(2x); this is because squaring a square root will cancel it:When multiplying radicals,...

Enter the fraction as a decimal and as a percent.

Ответ:

freakymnt

30.10.2022

Mathematics

$\frac{4\sqrt{6x}}{2x}$

Explanation:

The problem we are given is

$4\sqrt{\frac{3}{2x}}$

We can write the square root of a fraction as a fraction with a separate radical for the numerator and denominator; this gives us

$4\times \frac{\sqrt{3}}{\sqrt{2x}}$

We can write the whole number 4 as the fraction 4/1; this gives us

$\frac{4}{1}\times \frac{\sqrt{3}}{\sqrt{2x}}\\\\=\frac{4\sqrt{3}}{\sqrt{2x}}$

We now need to "rationalize the denominator." This means we need to cancel the square root in the denominator. In order to do this, we multiply both numerator and denominator by √(2x); this is because squaring a square root will cancel it:

$\frac{4\sqrt{3}}{\sqrt{2x}}\times \frac{\sqrt{2x}}{\sqrt{2x}}\\\\=\frac{4\sqrt{3}\times \sqrt{2x}}{2x}$

When multiplying radicals, we can extend the radical over both factors:

$\frac{4\sqrt{3} \times \sqrt{2x}}{2x}\\\\=\frac{4\sqrt{3\times 2x}}{2x}\\\\=\frac{4\sqrt{6x}}{2x}$

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Enter the fraction as a decimal and as a percent.
the decimal equivalent of 3/20 is and the percent equivalent is

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