Question

What is the product of 8√8 and 5√24 in simplest radical form?

Answer 1

Answer: 320√3.

Explanation:

To find the product of 8√8 and 5√24 in the simplest radical form, you can first simplify the square roots and then multiply the numbers:

8√8 can be simplified as follows:

8√8=8√(4∗2)=8∗(2√2)=16√2

Similarly, 5√24 can be simplified as:

5√24=5√(4∗6)=5∗(2√6)=10√6

Now, you can multiply the simplified expressions:

6√2∗10√6=16∗10∗√(2∗6)=160√12

To simplify this further, you can find the square root of 12:

√12=(4∗3)=2√3

Now, substitute this back into the expression:

160√12=160∗(2√3)=320√3

So, the product of

8√8 and 5√24 in simplest radical form is

320√3.