Question

find the smallest number by which 147 should be divided to get perfect square.​

Answer 1

Answer:

the perfect square for 441 is 21. so, there fore the answer is 21.

i hope its helpful.

Answer 2

Answer :

Therefore ,

• 3 should be divided to make it a perfect square.

Step-by-step-Explaination :-

Step 1 :

First find Prime Factorisation of 147 .

$\begin{array}{r | l} 7& 147 \\ \cline{2-2} 7 & 21 \\ \cline{2-2} & 3 \end{array}$

You can also refer the picture for Factorisation ,

Step 2 :

Now , write the factors of 147 from the Factorisation

$\rm \bf\: 147 = 7 \times 7 \times 3$

$\rm \bf\: 147 = {7}^{2} \times 3$

Step 3 :

Now , notice that 7 is a Square but 3 is not a square here . So, there is a deficient of 3 so , if we divide the number by 3 , then it will be a perfect square.

$\therefore \rm \: New \: number = \dfrac{147}{3} = \bf 49$

Therefore,

49 is a perfect square of 7 .

$\rm \: 7^{2} = \bf \: 49$

Hence ,

3 should be divided to make it a perfect square.

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