How do you simplify $(- 4 \sqrt{5} + \sqrt{2}) (2 \sqrt{5} - 3 \sqrt{2})$ $(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)$ ?

Question

How do you simplify $(- 4 \sqrt{5} + \sqrt{2}) (2 \sqrt{5} - 3 \sqrt{2})$ $(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)$ ?

1 Answer

Impact of this question

1609 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-27T16:59:45

$- 46 + 14 \sqrt{10}$ $-46+14sqrt10$

Explanation:

Let's multiply and get:

$- 4 \sqrt{5} \cdot 2 \sqrt{5} - 4 \sqrt{5} \cdot (- 3 \sqrt{2}) + \sqrt{2} \cdot 2 \sqrt{5} + \sqrt{2} \cdot (- 3 \sqrt{2})$ $-4sqrt5*2sqrt5-4sqrt5*(-3sqrt2)+sqrt2*2sqrt5+sqrt2*(-3sqrt2)$

$= - 8 \cdot 5 + 12 \sqrt{10} + 2 \sqrt{10} - 3 \cdot 2$ $=-8*5+12sqrt10+2sqrt10-3*2$

Let's sum the like terms:

$- 46 + 14 \sqrt{10}$ $-46+14sqrt10$

Science

Math

Humanities

... and beyond

How do you simplify $(- 4 \sqrt{5} + \sqrt{2}) (2 \sqrt{5} - 3 \sqrt{2})$ $(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify (−4√5+√2)(2√5−3√2)(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $(- 4 \sqrt{5} + \sqrt{2}) (2 \sqrt{5} - 3 \sqrt{2})$ $(-4sqrt5 + sqrt2)(2sqrt5 - 3sqrt2)$ ?