Question

find the square root of 8469 by prime factorization method​

Answer 1

The square root of the number 8469 is 92.027169901068

Simplified Square Root for √8469 is 3√941Step by step simplification process to get square roots radical form:

First we will find all factors under the square root: 8469 has the square factor of 9.Let's check this width √9*941=√8469.

As you can see the radicals are not in their simplest form.Now extract and take out the square root √9 * √941.

Root of √9=3 which results into 3√941All radicals are now simplified. The radicand no longer has any square factors.

Answer 2

Answer:

Prime Factors of 8464 =2, 2, 2, 2, 23, 23

Which is the same as = 24 x 232

Step-by-step explanation:

8464

/     \

2    4232  

/       \

2      2116  

/       \

2      1058  

/       \

2      529  

/       \

23      23  

/       \

23      1