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anonymous
 one year ago
Simplify: √27 + √3
anonymous
 one year ago
Simplify: √27 + √3

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Start by simplifying \(\sqrt{27} \) Can you find two factors of 27, one of which being a perfect square?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the square root of 30? which would be 10 outside the square root of 3?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Just like in the previous problem, \(\sqrt{48} \), 48 = 16 * 3, and 16 is a perfect square, you can rewrite 27 as the product of two numbers, one of them being a perfect square.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.010√3 so would this be the answer???

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No. There is no 30 here. Start with 27. Can you think of two numbers that multiply to 27 from the multiplication tables?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Great. Now what about 9? Is it a perfect square? Is 9 the square of some number?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Exactly. 9 is 3 * 3, or 3^2. Now we can continue with the problem: \(\sqrt{27} + \sqrt 3=\) \(= \sqrt{9 \times 3} + \sqrt 3\) So far we are only showing that 27 = 9 * 3 Ok?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we can separate the numbers inside the root. \(= \sqrt{9} \times \sqrt 3 + \sqrt 3\) In the step above, all we did was to separate the root of the product 9 * 3 into the product of the roots of 9 and 3.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we can easily simplify \(\sqrt 9\) We know that \(\sqrt 9 = 3\), so we write 3 instead of \(\sqrt 9\): \(= 3\sqrt 3 + \sqrt 3\) On the left above you see how \(\sqrt {27} \) simplifies to \(3 \sqrt 3\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we need to do the addition. \(3\sqrt 3 + \sqrt 3\) Is the same as saying "what is 3 square roots of 3 added to 1 square roots of three?"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i understand. but what answer is it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. 10√3 B. 27 C. 9√3 D. 4√3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What is 3x + x? What is 3 oranges plus 1 orange?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2What is 3 of something plus one of the same thing?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Right, so the same way 3 square roots of 3 added to 1 square root of 3 is 4 square roots of 3. Now we can finish the problem. \(= 4 \sqrt 3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh that makes a lot more sense

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Here is the whole problem without the explanations in the middle: \(\sqrt{27} + \sqrt 3=\) \(= \sqrt{ 9 \times 3} + \sqrt 3\) \(=\sqrt 9 \times \sqrt 3 + \sqrt 3\) \(= 3\sqrt 3 + \sqrt 3\) \(= 4 \sqrt 3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you! cane help me with another?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Multiply and simplify: square root of 6 times the quantity of square root of 3 + 5 square root of 2. A. B. C.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You mean this? \(\sqrt 6 \times (\sqrt 3 + 5 \sqrt 2) \)
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