Question

find the smallest number by which 7776 is to be divided to get a perfect square​

Answer 1

Answer:

Given, a number as 7776. We need to find out a number which if divided by the given number we should get a perfect square.

Step:1 Resolve 7776 into prime factors

7776=2×2×2×2×2×3×3×3×3×3

Step:2 By pairing the factors obtained

⇒7776=(2×2)×(2×2)×(3×3)×(3×3)×2×3

Step:3 Dividng the number woth the factor which are alone.

Here,2,3 are in pairs and 3,2 are alone.

⇒3×2=6

⇒

6

7776

=1296

Hence, 6 is the smallest number which is to be multiplied to the given number to get perfect square.

Step-by-step explanation:

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Answer 2

Answer:

6

Step-by-step explanation:

by factorisation method we get that 7776 ÷6 gives us a perfect square