How do you multiply sqrt2*sqrt2?

Jun 7, 2018

$2$

Explanation:

Given: $\sqrt{2} \cdot \sqrt{2}$

$= {\left(\sqrt{2}\right)}^{2}$

$= 2$

Jun 7, 2018

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

Explanation:

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

Square rooting a number is taking that number and seeing what two exact numbers multiply to it. When you multiply a root by itself it cancels out both roots.

Another example

$\sqrt{1029} \cdot \sqrt{1029} = 1029$