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!:(

2 answers

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.
Oookay, I see. Thank you so much, Jai!:D