5√15 x 4√2

1 answer

To multiply \( 5\sqrt{15} \) and \( 4\sqrt{2} \), you can use the following steps:

  1. Multiply the coefficients (the numbers outside the square roots): \[ 5 \times 4 = 20 \]

  2. Multiply the square roots: \[ \sqrt{15} \times \sqrt{2} = \sqrt{30} \]

  3. Combine both results: \[ 5\sqrt{15} \times 4\sqrt{2} = 20\sqrt{30} \]

So, the final answer is: \[ 20\sqrt{30} \]