Answered

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Question 8 (Multiple Choice Worth 1 point)

Simplify [tex]\sqrt{10} \cdot \sqrt{8}[/tex].

A. [tex]\sqrt{18}[/tex]
B. [tex]4 \sqrt{5}[/tex]
C. [tex]\sqrt{80}[/tex]
D. [tex]8 \sqrt{10}[/tex]

Sagot :

GinnyAnswer
Sure! Let's go step-by-step to simplify [tex]\(\sqrt{10} \cdot \sqrt{8}\)[/tex].

1. Multiply the numbers inside the square roots:
[tex]\[ \sqrt{10} \cdot \sqrt{8} = \sqrt{10 \cdot 8} \][/tex]
Multiply 10 and 8:
[tex]\[ 10 \cdot 8 = 80 \][/tex]
So, [tex]\(\sqrt{10} \cdot \sqrt{8}\)[/tex] simplifies to:
[tex]\[ \sqrt{80} \][/tex]

2. Simplify [tex]\(\sqrt{80}\)[/tex]:
[tex]\[ \sqrt{80} = 8.94427 \quad \text{(rounded to five decimal places)} \][/tex]

So, the correct answer from the given multiple-choice options is:
[tex]\[ \sqrt{80} \][/tex]
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