Question

How to solve square root of 576

Answer 1

Answer: 24

Step-by-step explanation:

you use the tree root method. you find the factors of 576. Which is 2 and 288. You circle the prime numbers and repeat until you have just prime numbers left. For example, then, 2 and 144, then, 2 and 72. After you have finished, you list all the factors and pair them up into sets.

Answer 2

Answer:

$\sqrt{576}=24$

Step-by-step explanation:

Resolving 576 into product of prime factors,we get

2| 576

_________

2| 288

_________

2| 144

_________

2| 72

_________

2| 36

_________

2| 18

_________

3| 9

_________

***3

$576 = 2^{6}\times 3^{2}$

$\implies \sqrt{576}=\sqrt{2^{6}\times 3^{2}}\\=2^{3}\times 3\\=8\times 3\\=24$

Therefore,

$\sqrt{576}=24$

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