Question

Determine the smallest positive number such that 1050p is a perfect square

Answer 1

A perfect square

Explanation:

• A perfect square is a number that can be termed as the product of two equal integers.
• The given number is 1050.
• We have to find the smallest positive number such that 1050 becomes a perfect square.
• So at first, write the factors of a number 1050.

        1050 = 2 × 3 × 7 × 5 × 5

• Now, we have to find the smallest positive number which makes 1050 a perfect square.

        The smallest no = 2 × 3 × 7

                                    = 42

• After multiplying 1050 by 42 it becomes 44100.

        10502 × 42 = 44100

• 44100 is the perfect square root of 210.

       √44100 = 210

• Hence, the required smallest positive number is 42.