Armani Stuart

2023-02-25

How to find the square root 2000?

Hayley Rosario

Step 1
Find the square root using prime factorization method:
The prime factors of $2000$ are
$2000=2×2×2×2×5×5×5$
Step 2
Thus, the square root of 2000 is
$2000=2×2×2×2×5×5×5$
$⇒\sqrt{2000}=\sqrt{2×2×2×2×5×5×5}$
$⇒\sqrt{2000}=2×2×5×\sqrt{5}$
$⇒\sqrt{2000}=20\sqrt{5}$
Thus, the square root of 2000 is $20\sqrt{5}$

Do you have a similar question?