When you are finding 2 consecutive numbers that a square root falls between, you have to think about what the closest whole numbers are, for example, if you have the sq root of 17, it would fall between 4² (16) and 5² (25).
So, in this case, √105 would fall between 10² (100) and 11² (121)
Let the numbers be m and n. Then "<span>five times the quotient of two numbers" would be 5m/n.
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Answer: See below
Step-by-step explanation:
27. -(a-3)
28. (b-1)(b+3)
29. (c+4)(c+5)
30. d(d+5)
31. -(3/4)(2e-5)
Sorry - I don't have time to enter the details. Look for areas where the expressions can be factored in a manner that forms as many equivalent expressions in both the numerator and denominator.
For example: In problem 30:
(5d-20)/(d^2+d-20) * [??]/20d = 1/4
Factor:
<u>(5(d-4))</u> <u>d(d+5)</u> = 1/4
(d-4)(d+5<u>)</u> 20d
The (d-4), d+5, and d terms cancel, leaving
5/20 = 1/4
