Question

square root of 720 by prime factorisation​

Answer 1

QUESTION

square root of 720 by prime factorisation

Answer:

The prime factors that multiply together to make 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5. When we strip out the pairs only, we get 2 x 2 x 2 x 2 x 3 x 3 = 144 and the square root of 144 is 12.

HOPE IT HELPS YOU

FOLLOW ME

Answer 2

Answer:

What is the square root of 720 is to simplify the radical to simplest form and decimal form by using our square root calculator

The square root of 720 is denoted by √720, where symbol ‘√’ is the symbol of the square root.

In order to simplify square root of 720 by using prime factorization, you follow these steps:

•Find prime factors of 720

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

•Take one factor from each group

•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 720.

720 = 2 ×2×2×2×3×3×5

⇒720 =2²×2²×3²×5¹

Therefore, √720 = √(2²×2²×3²×5¹)

√720 = √(2²×2²×3²) √(5¹)

= 12 √5

Then, the square root of 720 simplified can be expressed as :

= 12 √5

≈ 26.83282 (In decimal form)

Hope it helps you (•‿•)