What is the product of 6V3 and 8V30 in simplest radical form?

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asked Sep 12, 2023 2.7k views

5 votes

What is the product of 6V3 and 8V30 in simplest radical form?

Mathematics
high-school

ValNik asked

by ValNik

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2 Answers

10 votes

Answer:

144√10

Explanation:

6√3 x 8√30

= 48√90

= 48 x 3 x √10

= 144√10

Igor Tverdovskiy answered Sep 15, 2023

by Igor Tverdovskiy

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3 votes

Answer:

144√(10)

Explanation:

$6√(3) \cdot 8√(30)$

$=6√(3) \cdot 8√(3 \cdot 10)$

$=6√(3) \cdot 8√(3) √(10)$

$=6 \cdot 8 \cdot√(3) √(3) √(10)$

$=48 \cdot3 √(10)$

=144√(10)

Tonatio answered Sep 18, 2023

by Tonatio

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