Question

Find the square root of 5184 by prime factorization

Answer 1

Answer:

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Answer 2

Answer:

Square root of 5184 is 72.

Step-by-step explanation:

• Accordingly we first find the prime factors of 5184.
• Then we will make pairs of two .
• then we will select one prime from each pair.
• Then we will multiply selected integers.
• The product will be the square root.

Prime factor of 5184 is

$5184 = \text{2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3}$

Now we will make pairs of 2-2

$5184 = \text{\underline{2 x 2} x \underline{2 x 2} x \underline{2 x 2} x \underline{3 x 3} x \underline{3 x 3}}$

Now select one prime from each pair

$\text{2 x 2 x 2 x 3 x 3}$

Multiply above integers

$72$

Hence Square root of 5184 is 72.

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