Question

Find the square root of 9216 by prime factorization method

Answer 1

Answer:

$Square \:root \:of \:9216=96$

Step-by-step explanation:

Square root of 9216

2| 9216

___________

2 | 4608

___________

2| 2304

___________

2| 1152

___________

2| 576

___________

2| 288

___________

2| 144

___________

2| 72

___________

2| 36

___________

2| 18

___________

3| 9

___________

***3

$9216=2^{10}\times 3^{2}$

$Now,\\\sqrt{9216}\\=\sqrt{2^{10}\times 3^{2}}\\=2^{5}\times 3 \\=32\times 3\\=96$

Therefore,

$Square \:root \:of \:9216=96$

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Answer 2

Answer:

The square root of 9216 is 96

Step-by-step explanation:

Step 1:

Square root of 9216

2 | 9216

2 | 4608

2 | 2304

2 | 1152

2 | 576

2 | 288

2 | 144

2 | 72

2 | 36

2 | 18

3| 9

3

Step 2:

9316 = 210 x 32

So  √9216 = $\sqrt{x} (2^{10})\times3^2$

Square root of 9216 = 25 x 3

Square root of 9216 = 32 x 3

Square root of 9216= 96

Therefore, √9216 = is 96