Question

3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5​

Answer 1

42

Explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6, 2•7 = 14, 3•7 = 21

we need to multiply the remaining factors together to find another perfect square

2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²