Question

Find square root of 35721 by division method with explanation​

Answer 1

Answer:

35721 = 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7

⇒ 35721 = 3^2 x 3^2 x 3^2 x 7^2

Therefore, √35721 = √(3^2 x 3^2 x 3^2 x 7^2)

⇒ √35721 = 3 x 3 x 3 x 7 = 189

Answer 2

Answer:

The answer is 189.

Step-by-step explanation:

Step 1) Find prime factors of 35721

Step 2) Group the factors in 2 in such a way that each number of the group is same

Step 3) Take one factor from each group

Step 4) Find the product of the factors obtained in step 3. This product is the required square root

Using the steps above, here is the math showing you how to simplify square root of 35721.

35721 = 3 x 3 x 3 x 3 x 3 x 3 x 7x7

→ 35721 = 3² x 3² x 3² x 72

Therefore, √35721 = √(32 x 32 x 3² x 72)

→ √35721 = 3 x 3 x 3 x 7 = 189