Question

find the square root of 324 by using prime factoristion​

Answer 1

Answer:

Square Root of a Perfect Square by using the Prime Factorization...

484 = 2 × 2 × 11 × 11. √484 = √(2 × 2 × 11 × 11) ...

324 = 2 × 2 × 3 × 3 × 3 × 3. √324 = √(2 × 2 × 3 × 3 × 3 × 3) ...

1764 = 2 x 2 x 3 x 3 x 7 x 7. √1764 = √(2 x 2 x 3 x 3 x 7 x 7) ...

4356 = 2 x 2 x 3 x 3 x 11 x 11. √4356 = √(2 x 2 x 3 x 3 x 11 x 11) ...

11025 = 5 x 5 x 3 x 3 x 7 x 7. ...

= 5 × 5 × 3 × 3 × 3 × 3.

Answer 2

The square root of 324 is

$\sqrt{324 } = \sqrt{(2 \times 2) \times (3 \times 3) \times (3 \times 3)} \\ \\ = 2 \times 3 \times 3 \\ \\ = 18$

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