Question 73433
Here's how I understood what you said ... your problem is:
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{{{(-3)*sqrt(20)*sqrt(15)}}}
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and you need to simplify it.
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Congratulations, your answer is correct! You can check your work and see if you did it
like I did.
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Here's how I did it:
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Notice that 20 can be factored into 4 times 5 and 15 can be factored into 3 times 5.
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Substitute these values into the problem statement to get:
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{{{(-3)*sqrt(4*5)* sqrt(3*5)}}}
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Now, using the rule that {{{sqrt(a*b) = sqrt(a)* sqrt(b)}}}:
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{{{(-3)*sqrt(4*5) * sqrt(3*5) = (-3)*sqrt(4)*sqrt(5) * sqrt(3)*sqrt(5)}}}
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Notice that {{{sqrt(4) = 2}}} and that {{{sqrt(5)*sqrt(5) = 5}}}. We can make these
substitutions to get:
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{{{(-3)*2*5*sqrt(3)}}}
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Multiplying out the leading constants ((-3)*2*5) = -30 and the answer becomes:
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{{{(-30)*sqrt(3)}}}
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Good job! Keep up the good work!