Question

Find the smallest number by which 48 should multiplied so as to get a perfect square.

Answer 1

Answer:

48 = 2 X 2 X 2 X 2 X 3

Here one more 3 is needed to make it a perfect square.

So the smallest number is 3 by which 48 should multiplied so as to get a perfect square.

Step-by-step explanation:

Answer 2

3 is the smallest number by which 48 should multiplied so as to get a perfect square

Given :

The number 48

To find :

The smallest number by which 48 should multiplied so as to get a perfect square

Concept :

Step : I - Firstly express the given number as a product of prime factor by using prime

factorisation

Step : II - Make the pair of similar factors such that the both factors in each pair are equal.

Step : III - Take one factor from each pair.

Step : IV - If no factor is left over in grouping (pairs) then the number is perfect square otherwise not

Solution :

Step 1 of 2 :

Prime factorise the given number

Here the given number is 48

48 = 2 × 2 × 2 × 2 × 3

∴ 48 = 2² × 2² × 3

Step 2 of 2 :

Find the smallest number by which 48 should multiplied so as to get a perfect square

Since the factor 3 does not have pair

So we need to multiply the number 48 by 3 to make a perfect square

Hence 3 is the smallest number by which 48 should multiplied so as to get a perfect square

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the result when the following numbers are fed into the machine:(1)123 (2) -72

https://brainly.in/question/27009691

2. Find the Dividend, if Divisor = 9, Quotient = 12 and Remainder = 3.

https://brainly.in/question/24955960

#SPJ3