[division of radicals][section 61]
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(1.) √4/25 here is the problem
= 2/5 take square root
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(2.) √7/36 here is the problem
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= √7/6 take square root of 36
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(3.) √10/81 here is the problem
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= √10/9 take square root of 81
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(4.) 5√24/121 here is the problem
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= 5√6√4/√121 factor like this
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= 5(2)√6/11 take square root
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= 10√6/11 multiply
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(5.) 9√27/169 here is the problem
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= 9√9√3/√169 factor like this
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= 9(3)√3/13 take square root
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= 27√3/13 multiply
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(6.) 7√75/625 here is the problem
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= 7√25√5/√625 factor
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= 7(5)√5/25 take square root
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= 35√5/25 multiply
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= 7√5/5 reduce
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(7.) 2√12/225 here is the problem
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= 2√4√3/√225 factor
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= 2(2)√3/15 take square root
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= 4√3/15 multiply
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(8.) 3√6/100 here is the problem
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= 3√6/10 take square root
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(9.) √3/49 here is the problem
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= √3/7 take square root
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(10.) 6√3/64 here is the problem
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= 6√3/8 take square root
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= 3√3/4 reduce