SOLUTION: Write each of the following square roots in the form a√b where a and b are integers and b has the least value possible.
These are all square roots.
360
40
240
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-> SOLUTION: Write each of the following square roots in the form a√b where a and b are integers and b has the least value possible.
These are all square roots.
360
40
240
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Question 411591: Write each of the following square roots in the form a√b where a and b are integers and b has the least value possible.
These are all square roots.
360
40
240
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First thing you need to do is a prime factorization of the inside term. I realize that 6 is not a prime number, however, since it comes up an even number of times in the factorization, there is no reason to factor it further. Since 6 came up twice, you can move one outside of the square root sign and cross the other one out. Since there are no other numbers that come up more than once, you are done.
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Therefore, you can move 1 of the 2's outside, and cross one of them out.
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Therefore you can take two 2's out and cross the other two out.