Question

1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained

Answer 1

9514 1404 393

Answer:

• 2
• 54

Step-by-step explanation:

The prime factorization of 1458 is ...

  1458 = 2·3^6

The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.

  √(2·1458) = √2916 = 54

Multiplying by 2 will give the square of 54.