Question

What is the product of 3 square root 7 and 17 square root 14 in simplest radical form ​

Answer 1

$3 \sqrt{7} \times 17 \sqrt{14}$

This is the problem that we need to solve. The best way to get about it is to first:

1. Multiply the constant numbers (3 and 17). 3×17 is 51.
2. Next multiply the radicals.
3. $\sqrt{7} \times \sqrt{14} = \sqrt{7 \times 14} = \sqrt{108}$
4. Simplify the squareroot of 108 since it is 49 times 2. It would be equal to 7 squareroots of 2.
5. Our final answer would be:
6. $51 \times 7\sqrt{2} = 357 \sqrt{2}$
7. 51 x 7 is 357, so the answer above is right.

The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.

Hope you understood and have a nice day!!