Question

Find the smallest number by which 253 must be multiplied to get a perfect square. Also find the square root of the square so obtained

Answer 1

Answer:

here is your answer

Step-by-step explanation:

first of all, we need to bring the prime factors of 252 by prime factorisation method ]

Prime factors of 252

= 2×2×3×3×7

[ as, 7 is not in pair like "2×2" & "3×3" ]

So, smallest number to be multiplied

= 7

[ multiply 7 to the digits ]

Perfect sq. = 1764

Sq. root of perfect sq. = 42