Question

:
1) Find the smallest whole number
by which 192 should be multiplied so as to get a perfect square number?​

Answer 1

Answer:

number 3 will be multiply with 192 makes perfect square number.

perfect square number =576

and the perfect square root of the number√576= 24

Step-by-step explanation:

Answer 2

Prime factorization of 192 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3

Since 3 does not occur in pair,

we multiply by 3 to make it pair

so, our number becomes

192 * 3 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3

576 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3

Square root of 576 = 24.

The smallest whole number to be multiplied = 3.

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