Question

. Find the square root of the following by prime factorization:
4225​

Answer 1

Step-by-step explanation:

4225 = 5×5×13×13

4225 = 5×13

answer is 65

.Hope it will help you

Answer 2

$\rm\red{Let's\:begin\:!}$

$\sf\green{Solution :-}$

Prime factorization of 4225 :-

$\begin{array}{r|l}5&4225\\ \cline{2-2}5&845\\ \cline{2-2}13&169\\ \cline{2-2}13&13\\ \cline{2-2} &1\end{array}$

$\rightarrow{5 × 5 × 13 × 13 = 4225}$

• grouping the factors into pairs of equal factors, 5 × 13

• So, 5 × 13 = 65 , i. e, ${\rm{\red{\sqrt{4225}}}}$

$\rm\green{Know\:More\:-}$

$\sf\purple{Sqaure\:of\:a\:number}$

Square of a number is the product of the number multiplied by itself that is the square of a number is number raised to the power 2 .

ex.

• Square of 4 = 4² = 4 × 4 = 16
• Square of 0.8 = ( 0.8 )² = 0.8 × 0.8 = 0.64

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