Question
Multiply 93 −−√ ⋅67–√
. Give an exact answer.(1 point)
. Give an exact answer.(1 point)
Answers
Answered by
GPT-4o mini
To multiply the square roots \( \sqrt{93} \) and \( \sqrt{67} \), you can use the property of square roots that states:
\[
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}
\]
Applying this property:
\[
\sqrt{93} \cdot \sqrt{67} = \sqrt{93 \cdot 67}
\]
Next, we need to calculate \( 93 \cdot 67 \):
\[
93 \cdot 67 = 6231
\]
Therefore:
\[
\sqrt{93} \cdot \sqrt{67} = \sqrt{6231}
\]
The exact answer is:
\[
\sqrt{6231}
\]
\[
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}
\]
Applying this property:
\[
\sqrt{93} \cdot \sqrt{67} = \sqrt{93 \cdot 67}
\]
Next, we need to calculate \( 93 \cdot 67 \):
\[
93 \cdot 67 = 6231
\]
Therefore:
\[
\sqrt{93} \cdot \sqrt{67} = \sqrt{6231}
\]
The exact answer is:
\[
\sqrt{6231}
\]