The quotient property of radicals requires the indices of the radicals to be the same. does this mean that it is not possible to write

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20-07-2022
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The quotient property of radicals requires the indices of the radicals to be the same. does this mean that it is not possible to write

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Tutorconsortium01 Tutorconsortium01 · Answer 1 · 2022-08-02T16:57:22+02:00

The equation cannot be written as a single radical expression.

Since the radicals are powers of the same base, rational exponents may be used to write them.

Get a common denominator for the exponential expressions' quotient, then subtract exponents to simplify it.

The indices of the radicals must match in order for the radicals to possess the quotient property. As a result, the equation cannot be written as a single radical expression.

What is radical expression?

Any expression that contains the radical (√) sign is referred to as a radical expression in mathematics. This symbol, which is frequently used to calculate the square root of a number, is frequently called the "square root" symbol by mistake by people.

But it can also refer to a cube root, a fourth root, or anything higher. The 'V'-shaped portion of the radical sign will have a superscript number when it is used to represent any root other than a square root.

Learn more about radical expression

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