Question

Which choice is equivalent to √3 *√8*√5
A. 2√30
B. 4√30
C. 10√12
D. 24√5

Answer 1

A. 2√30

Explanation:

`\small \sf \: √(3) * √(8) * √(5) \\`

split √8

`\small \sf \leadsto √(3 × 2 × 2 × 2 × 5)`

`\small \sf \leadsto \: 2 √(2 * 3 * 5)`

`\small \sf \leadsto \: 2 √(30)`

Answer 2

`\implies {\blue {\boxed {\boxed {\purple {\sf { A. \:2 √(30) }}}}}}`

`\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}`

`= √(3) * √(8) * √(5)`

`= √(3 * 2 * 2 * 2 * 5)`

`= \sqrt{ ({2})^(2) * 2 * 3 * 5}`

`= 2 √(2 * 3* 5)`

`= 2 √(30)`

Note:

`\sqrt{ ({a})^(2) } = a`

`\bold{ \green{ \star{ \orange{Mystique35}}}}⋆`