how do you multiply radical 11 by radical 22?

Question

show me the steps

Answer 1

I will assume from your question that the index of each radical is the same and equal to 2. Index is the number in the V portion of the radical sign. This means say, square root of 11 multiplied by square root of 22. The method of solving is the same for any other indices.

Anyway, for simplicity, you can rewrite rad 11 by 11^(1/2). Note square root is the same as exponent 1/2. Also rad 22 is 22^(1/2)
But rad 22 can be rewritten as [(11^(1/2) x 2^(1/2)].

Or, 11^(1/2) x 11^(1/2) x 2^(1/2

Therefore after multiplying, this gives you 11 x 2^(1/2) or

11 x radical 2.

Answer 2

Multiply 11 by 22 under the radical sign to get sq rt (242), then extract the square root of 242. Since 242 = 2 x 121 = 2 x 11 x 11, we can extract 11 from under the radical sign to get 11 sq rt (2).

The steps are below:

sq rt (11) sq rt (22) =
[sq rt (11 x 22)] =
sq rt (242) =
[sq rt (2 x 121)] =
[sq rt (2 x 11 x 11)] =
11 sq rt (2).

Answer 3

(√11)(√22) = √(11*22) = √242

If you want to simplify this:

√242 = √(2*11*11) = 11√2

Answer 4

radical 11X radical 22
=radical 11Xradical(11x2)
=radical 11Xradical11Xradical 2
=11radical2