How do you simplify $\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$ $sqrt3(-5sqrt10+sqrt6)$ ?

Question

1250 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-01T05:59:05

$- 5 \sqrt{30} + 3 \sqrt{2}$ $-5sqrt30 + 3sqrt2$

$\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$ $sqrt3(-5sqrt10 + sqrt6)$

Use the distributive property:
cdn.virtualnerd.com

Following this image it becomes:
$- 5 \cdot \sqrt{3} \cdot \sqrt{10} + \sqrt{3} \cdot \sqrt{6}$ $-5 * sqrt3 * sqrt10 + sqrt3 * sqrt6$

Now simplify:
$- 5 \sqrt{30} + \sqrt{18}$ $-5sqrt30 + sqrt18$

Expand $\sqrt{18}$ $sqrt18$ :
$- 5 \sqrt{30} + \sqrt{9 \cdot 2}$ $-5sqrt30 + sqrt(9 * 2)$

$- 5 \sqrt{30} + \sqrt{9} \cdot \sqrt{2}$ $-5sqrt30 + sqrt9 * sqrt2$

Final answer:
$- 5 \sqrt{30} + 3 \sqrt{2}$ $-5sqrt30 + 3sqrt2$

Hope this helps!

How do you simplify √3(−5√10+√6)sqrt3(-5sqrt10+sqrt6)?