Question

Find the smallest number by which 1458 should be multiplied so as to get a perfect square number. Also find the square root of square number

so obtained.​

Answer 1

Answer:

2

Step-by-step explanation:

By prime factorisation of 1458, we get

1458=2×3×3×3×3×3×3

Here, 3 are in pairs but 2 needs a pair to make 1458 a perfect square.

So, 1458 needs to be multiplied by 2 to make it a perfect square.

Thus, the number is 1458×2=2916

2916=2×2×3×3×3×3×3×3

             =2×3×3×3

             =54

Thus 2 is the required smallest whole number to make the given number a perfect square.