√2^3b ^4√8ab^2

[znick46]

√2^3b ^4√8ab^2

I've tried several times and failed to get the right answer. Thank you

 

[stapel]

√2^3b ^4√8ab^2

Your formatting, lacking grouping symbols, is ambiguous. For example, it could mean "sqrt[2^(3b)^(4*sqrt[8]ab)^2]", which typesets as:

. . . . .\(\displaystyle \displaystyle{\sqrt{2^{(3b)^{(4 \sqrt{8}ab)^2}}}}\)

Was this what you meant?

I've tried several times....

You've "tried several times" to do what? What were the instructions? What are you supposed to be doing with this expression?

When you reply, please include a clear listing of your efforts so far. Thank you!

 

[Quaid]

√2^3b^4 √8ab^2

If this exercise involves simplifying a product of two radicals, then you need to begin by multiplying the radicands (i.e., the expressions under the radical signs).

Do you know how to multiply (2^3 b^4)(8 a b^2) ?


Shown symbolically, the relevant property of radicals that you're expected to memorize is this:

\(\displaystyle \sqrt{m} \cdot \sqrt{n} = \sqrt{m\cdot n}\)


Then simplify your result.

Still stuck? Then follow Denis' instruction above. Cheers :cool:


PS: Here is how we text a product of two radicals, using proper grouping symbols around the radicands:

√(2^3 b^4) √(8 a b^2)


If this actually is not your exercise, then please answer Stapel's questions ...