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Q: What is the rationalizing the radical of 3 square root of 5?

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16 radical 3

It is called rationalizing the denominator, and it is done by multiplying numerator and denominator by appropriate numbers. Note that if you do that, you will usually end up with radicals in the numerator. Examples: 1 / (square root of 2): Multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3): Multiply numerator and denominator by (square root of 2 - square root of 3).

√3

√3

It is root 3.

So I assume you mean the square root and square root of 27=square root of (9x3)=3(square root (3))

3 square root 10

Square root of 324 is 18 or 3 times the square root of 2

It is 3 times the square root of 17

5 times the square root of 3

The square root of 12 may be simplified to 2 times the square root of 3.

The rules for "standard radical form" are that (a) there should be no perfect square within the radical sign; for example, square root of 12 is equal to square root of 4 x square root of 3 = 2 x square root of 3, and should be written as the latter; and (b) there should be no radical sign in the denominator. For example, if you have 1 / square root of 2, you multiply top and bottom by the square root of 2, to get a square root in the numerator, but none in the denominator.

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