Question

square root of the following number by the prime factorisation method is 7744 with process​

Answer 1

Answer:

$\huge\tt\underline{question}$

square root of 7744 by prime factorisation method with process.

$\huge\tt\underline{solution}$

Using prime factorisation method we have:

$7744 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11$

$= > 7744 = {2}^{2} \times {2}^{2} \times {2}^{2} \times {11}^{2}$

taking square root we have:

$\sqrt{7744} = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times {11}^{2} }$

$= > 2 \times 2 \times 2 \times 11$

$= > 88$

$\huge\tt\underline{answer}$

hence,square root of 7744 is 88