Question

what is the smallest number by which 7776 must be multiplied so that the product becomes a perfect cube?.find the required perfect cube so obtained

Answer 1

Answer:6

Step-by-step explanation:

to make the number be a perfect cube.we have to factorize the number.

so 7776=2*2*2*2*2*3*3*3*3*3

we can see there are only two numbers 2 and 3 is repeated. as 2 and 3 repeated 5 tis each. to make perfect square we have to increase the number of 2 and 3. so we multiply one more 2 and 3

so by multiplying by 6 number will be a perfect cube.

Answer 2

Answer:

answer is LCM of 7776=2×2×2×2×2×3×3×3×3×3

7776=2×2×2×2×3×3×3×3×2×3

7776×3×2=2×2×3×3×2×3

46656=216 ans