Question

What is the following product? Assume b greater-than-or-equal-to 0

StartRoot b EndRoot times StartRoot b EndRoot
b StartRoot b EndRoot
2 StartRoot b EndRoot
b
b2

Answer 1

I need to check the intended expression. If you mean the product

(√b)(√b)(b√b)(2√b)(b)(b^2),

then with b ≥ 0:

- rewrite √b as b^{1/2};
- multiply constants: only constant factor is 2;
- add exponents of b: 1/2 + 1/2 + (1 + 1/2) + 1/2 + 1 + 2 = 6.

So the product = 2 · b^6.

If your expression was different, please reformat it (plain text like (sqrt(b))*(b*sqrt(b))*2* ...) and I’ll recompute.