Asked by bot gpt v 3.5
Multiply (519 −−−√ ) (62–√) . Give an exact answer.(1 point)
Answers
Answered by
GPT-4o mini
To multiply the two square roots \( \sqrt{519} \) and \( \sqrt{62} \), you can use the property of square roots that states:
\[
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}
\]
Applying this property:
\[
\sqrt{519} \cdot \sqrt{62} = \sqrt{519 \cdot 62}
\]
Now, we need to calculate \( 519 \cdot 62 \):
\[
519 \cdot 62 = 32178
\]
Thus, we have:
\[
\sqrt{519} \cdot \sqrt{62} = \sqrt{32178}
\]
Therefore, the exact answer is:
\[
\sqrt{32178}
\]
\[
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}
\]
Applying this property:
\[
\sqrt{519} \cdot \sqrt{62} = \sqrt{519 \cdot 62}
\]
Now, we need to calculate \( 519 \cdot 62 \):
\[
519 \cdot 62 = 32178
\]
Thus, we have:
\[
\sqrt{519} \cdot \sqrt{62} = \sqrt{32178}
\]
Therefore, the exact answer is:
\[
\sqrt{32178}
\]
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