Armani Stuart

2023-02-25

How to find the square root 2000?

Hayley Rosario

Beginner2023-02-26Added 8 answers

Step 1

Find the square root using prime factorization method:

The prime factors of $2000$ are

$2000=2\times 2\times 2\times 2\times 5\times 5\times 5$

Step 2

Thus, the square root of 2000 is

$2000=2\times 2\times 2\times 2\times 5\times 5\times 5$

$\Rightarrow \sqrt{2000}=\sqrt{2\times 2\times 2\times 2\times 5\times 5\times 5}$

$\Rightarrow \sqrt{2000}=2\times 2\times 5\times \sqrt{5}$

$\Rightarrow \sqrt{2000}=20\sqrt{5}$

Thus, the square root of 2000 is $20\sqrt{5}$

Find the square root using prime factorization method:

The prime factors of $2000$ are

$2000=2\times 2\times 2\times 2\times 5\times 5\times 5$

Step 2

Thus, the square root of 2000 is

$2000=2\times 2\times 2\times 2\times 5\times 5\times 5$

$\Rightarrow \sqrt{2000}=\sqrt{2\times 2\times 2\times 2\times 5\times 5\times 5}$

$\Rightarrow \sqrt{2000}=2\times 2\times 5\times \sqrt{5}$

$\Rightarrow \sqrt{2000}=20\sqrt{5}$

Thus, the square root of 2000 is $20\sqrt{5}$