SOLUTION: How can I solve 2 square root of 7t times square root of 14t? I came out with 2 square root of 98t squared, then 2 square root of 49 times 2t squared followed by 2 times 7 square

Question 73436: How can I solve 2 square root of 7t times square root of 14t? I came out with 2 square root of 98t squared, then 2 square root of 49 times 2t squared followed by 2 times 7 square root of 2. My answer was 14t square root of 2. Is this correct? I don't know how to write out the problem, I hope this is okay.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
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Simplify this.
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Let's see if your answer is correct.
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One way to do this is to use the rule:
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Applying this rule to 7t leads to
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Then apply this rule twice to 14t to get:
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Now substitute for sqrt(7t) and sqrt(14t) in the original problem to get:
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In this string we have and that equals . We also have
and that equals . The rest of the terms remain unchanged.
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So, after substituting and the problem reduces to:
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which further simplifies to:
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You might want to change it to have the variable last. If you do the answer is:
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But there's nothing wrong with your answer. Another good job!
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