# How do you simplify  2 sqrt1000?

Apr 11, 2017

$20 \sqrt{10}$

#### Explanation:

When you arrange the term in square root:
It becomes:

$\sqrt{1000} = \sqrt{100 \cdot 10} = 10 \sqrt{10}$

Now you have $2 \cdot 10 \sqrt{10}$

Then you will get $20 \sqrt{10}$ as your answer

Apr 11, 2017

$20 \sqrt{10}$

#### Explanation:

$2 \sqrt{1000}$

$\therefore = 2 \sqrt{10 \cdot 10 \cdot 10}$

$\therefore = \sqrt{10} \cdot \sqrt{10} = 10$

$\therefore = 2 \cdot 10 \sqrt{10}$

$\therefore = 20 \sqrt{10}$