Question

FIND THE SMALLEST NUMBER BY WHICH THE FOLLOWING HAVE TO BE DIVIDED TO MAKE THEM A PERFECT SQUARE
a 1734
b 5040

Answer 1

Answer:

(a) Smallest number=6

(b) Smallest number=35

Step-by-step explanation:

Solution of questions (a)

1. prime factor of 1734= 2×3×17×17
2. We see that prime factor 2 and 3 do not occur in pair So,
3. 1734÷ 2×3= 1734÷6 =289

and √298=17

Hence , smallest number= 6

Solution of questions (b)

1. prime factor of 5040= 2×2×2×2×3×3×5×7
2. We see that prime factor 3 and 7 do not occur in pair So,
3. 5040÷ 3×7

=5040÷35

= 144

• and √144= 12

Hence, smallest number =35