Question

Multiply and then simplify the radical. 5 square root of 10 times 3 square root of 8

Answer 1

@PinkSapphire

Answer 2

Can you try it out this time? Then I'll tell you if you did it correctly or not.

Answer 3

15 square root of 18

Answer 4

I don't think you can do that because when you're multiplying radicals, treat them as if they are variables. For example:\[5x \times 3x=15x\]But for this problem, you have to make the radicals (square roots) the same first before yu multiply the numbers outside the radicals.

Answer 5

*you

Answer 6

Actually, your answer was right, my mistake.

Answer 7

Wait, it's actually...\[15\sqrt{80}\]

Answer 8

You multiplied it, but you still have to simplify \(15 \sqrt{80}\).

Answer 9

\[5\sqrt{10}\times3\sqrt{8}\]
\[5\times3 \sqrt{10\times8}\]
\[15\sqrt{80}\]But to simplify it...
\[15\sqrt{10\times8}\]
\[15\sqrt{5\times2\times4\times2}\]
\[15\sqrt{5\times4\times4}\]
\[15\sqrt{5\times16}\]
\[15\times4\sqrt{5}\]
\[60\sqrt{5}\]
I'm not really sure if I did it correctly...