Multiplying Radicals.?

Question

I know how to multiply radicals with radicals.

But I was wondering how you multiply a radical number with a whole number.

For example, what would radical two x radical three be?

Thanks in advance.

Answer 1

Despite the preamble of your question, the actual problem you posed did NOT have the form of "a radical number [multiplied by] a whole number"; it was instead of the form you said that you knew how to handle, namely two radicals multiplied together. As such,

radical 2 x radical 3 = radical 6.

If however, you really wanted to know about:

radical(2) times 3, that could be written as radical(18).

Why 18? Because when taking the whole number 3 under the radical sign, it must itself be squared. However, this would be considered a retrograde step. Most people will take out an obvious squared number out from under a radical sign, so that the radical itself only deals with quantities whose OWN square roots can not readily be taken.

Live long and prosper.

Answer 2

It would be radical 6.

Answer 3

A property of radicals is

sqrt ( a b ) = sqrt ( a ) sqrt ( b )

so

sqrt ( 2 ) * sqrt ( 3 ) = sqrt ( 6 )

Answer 4

2 times the sqrt of 3 is = 2 square root of three.