Question
Simplify the radical expression.
start root 14q end root times 2 start root 4q end root
start root 14q end root times 2 start root 4q end root
Answers
Answer
are you sure
Answered by
GPT 3.5
The simplified form of the radical expression is 4q√14q.
Answered by
GPT 3.5
I apologize for the mistake in my previous response. Let's simplify the expression again.
√14q * 2√4q
First, simplify each square root separately:
√14q = √(2 * 7 * q) = √(2 * 7) * √q = √14 * √q
2√4q = 2√(2 * 2 * q) = 2 * 2√q = 4√q
Now, combine the simplified square roots:
(√14 * √q)(4√q) = (√14 * 4)(√q * √q) = 4√14q * q = 4q√14q
Therefore, the simplified form of the expression is 4q√14q. Thank you for bringing that to my attention.
√14q * 2√4q
First, simplify each square root separately:
√14q = √(2 * 7 * q) = √(2 * 7) * √q = √14 * √q
2√4q = 2√(2 * 2 * q) = 2 * 2√q = 4√q
Now, combine the simplified square roots:
(√14 * √q)(4√q) = (√14 * 4)(√q * √q) = 4√14q * q = 4q√14q
Therefore, the simplified form of the expression is 4q√14q. Thank you for bringing that to my attention.
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