Asked by SkatingDJ
Suppose a and b are positive integers.
A) Verify that if a = 18 and b = 10, then √a * √b = 6√5.
B) Find two other pairs of positive integers a and b such that √a * √b = 6√5.
HELP!:(
A) Verify that if a = 18 and b = 10, then √a * √b = 6√5.
B) Find two other pairs of positive integers a and b such that √a * √b = 6√5.
HELP!:(
Answers
Answered by
Jai
A.
Well you just substitute a and b:
√a * √b
√18 * √10
To combine them, we just multiply the terms inside the radical sign and retain the radical sign:
√180
√(36*5)
√(6^2)(5)
6√5
B.
Well we know that 6√5 is also equivalent to √180. Therefore take a pair from the factors of 180. For example, from the first question, 10 and 18 are factor pair of 180 because 10 x 18 = 180.
Well you just substitute a and b:
√a * √b
√18 * √10
To combine them, we just multiply the terms inside the radical sign and retain the radical sign:
√180
√(36*5)
√(6^2)(5)
6√5
B.
Well we know that 6√5 is also equivalent to √180. Therefore take a pair from the factors of 180. For example, from the first question, 10 and 18 are factor pair of 180 because 10 x 18 = 180.
Answered by
SkatingDJ
Oookay, I see. Thank you so much, Jai!:D
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