Question

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

Answer 1

$\implies {\blue {\boxed {\boxed {\purple {\sf { A. \:2 \sqrt{30} }}}}}}$

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

$= \sqrt{3} \times \sqrt{8} \times \sqrt{5}$

$= \sqrt{3 \times 2 \times 2 \times 2 \times 5}$

$= \sqrt{ ({2})^{2} \times 2 \times 3 \times 5}$

$= 2 \sqrt{2 \times 3\times 5}$

$= 2 \sqrt{30}$

Note:

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

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

Answer 2

Answer:

A. 2√30

Step-by-step explanation:

$\small \sf \: \sqrt{3} \times \sqrt{8} \times \sqrt{5}$

split √8

$\small \sf \leadsto \sqrt{3 × 2 × 2 × 2 × 5}$

$\small \sf \leadsto \: 2 \sqrt{2 \times 3 \times 5}$

$\small \sf \leadsto \: 2 \sqrt{30}$