Question

simplify the expression
5 square root 24 * 3 square root 10

Answer 1

\[\large 5\sqrt{24} \times 3\sqrt{10}\]

Hint...when we multiply radicals...we just multiply under the radical

Example

\[\large \sqrt{a} \times \sqrt{b} = \sqrt{a \times b}\]

so here, multiply the 5 and the 3...and then also multiply the sqrt(24) and sqrt(10)

Answer 2

Well it would actually be *remember the 24 and the 10 stay under the radical...so we have

\[\large 15\sqrt{240}\]

Can that be simplified at all?

for exampe if I wrote this as

\[\large 15 \sqrt{16 \times 15}\]

anything can be simplified?

Answer 3

*Hint \[\large \sqrt{16} = 4\]

Answer 4

15 cant be simplified so is it
4* 15
15 radical 60 ?