Question

find square root of 1936 by using prime factorization method​

Answer 1

Answer:

Step-by-step explanation:

lets first do prime factorization of 1936

1936 = 2×2×2×2×11×11

so √1936 = √2×2×2×2×11×11 = 2×2×11 = 44

Hence square root of 1936 is 44

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Additional information ❤

How do you find the prime factorization?

The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

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What does √ mean?

A square root of a number is a value that, when multiplied by itself, gives the number. ... The symbol is √ which always means the positive square root.

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HOPE IT HELPS YOU ❤

Answer 2

First, we need to prime factorize 1936 to get the product of the primes.

$\begin{array}{r | l} 2 & 1936 \\ \cline{2-2} 2 & 968 \\ \cline{2-2} 2 & 484 \\ \cline{2-2} 2 & 242 \\\cline{2-2} 11 & 121 \\\cline{2-2} & 11 \\ \end{array}$

1936 ⇒ $2\times 2\times 2\times2\times11\times 11$

Now we have to pair all the numbers.

$(2\times 2)\times(2\times2)\times(11\times 11)$

To find the square root we need to take one number from each pair and multiply.

$\sqrt{1936}=2\times2\times11$

$\sqrt{1936}=44$

∴ $\sqrt{1936}=44$

Additional Information :)

What is a square number?

The result of multiplying an integer by itself is known as a square number.

How to pronounce a squared number?

For example ⇒ $8^2$

We pronounce it as ⇒ "7 square" or "7 raised to the power 2"

What is the result if a negative number is squared?

The result will be positive if a negative number is squared.