Question

find the square root of 1764 by prime factorization. please give answer step - by - step.​ pl don't spam​

Answer 1

Step-by-step explanation:

2 1764

2 882

3 441

3 147

7 49

7 7

1

2×2×3×3×7×7

2×3×7=42

Answer 2

Answer:

hello mate!

Step-by-step explanation:

Square root of 1764:-

Primefactorisation,

$1764 |2| \\ 882 |2| \\ 441 |3| \\ 147 |3| \\ 49 |7| \\ 7 |7 \\ 1 ||$

Prime Factors:- 2×2×3×3×7×7.

Pairing:-

Each prime factors in a prime factorisation of a sqaure Of a Number occurs twice the number of times it occurs in the primefactorisation of the Number itself.

(2×3×7)².

$\sqrt{1764 = } (2 \times 3 \times 7)$

hence,

$\sqrt{1764}$

= 42.

Thank you mate!

Have a great day ahead!