185k views
3 votes
Which choice is equivalent to √3 *√8*√5
A. 2√30
B. 4√30
C. 10√12
D. 24√5

User AdilZ
by
8.6k points

2 Answers

3 votes

Answer:

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)

User Dhaval Khant
by
7.8k points
4 votes


\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}}}}⋆

User Thoman
by
7.7k points

Related questions

asked Nov 12, 2019 50.1k views
Skilleo asked Nov 12, 2019
by Skilleo
8.5k points
2 answers
5 votes
50.1k views
asked Nov 9, 2022 43.5k views
Fried Hoeben asked Nov 9, 2022
by Fried Hoeben
7.9k points
1 answer
23 votes
43.5k views