How do you simplify $\sqrt{10} (4 + \sqrt{5})$ $sqrt 10(4+sqrt 5)$ ?

Question

How do you simplify $\sqrt{10} (4 + \sqrt{5})$ $sqrt 10(4+sqrt 5)$ ?

1 Answer

Impact of this question

4015 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-29T17:14:57

$4 \sqrt{10} + 5 \sqrt{2}$ $4sqrt(10)+5sqrt(2)$

Explanation:

$\sqrt{10} \cdot (4 + \sqrt{5})$ $sqrt(10)*(4+sqrt(5))$
$= 4 \cdot \sqrt{10} + \sqrt{5} \cdot \sqrt{10}$ $=4*sqrt(10)+sqrt(5)*sqrt(10)$
$= 4 \cdot \sqrt{10} + \sqrt{5 \cdot 10}$ $=4*sqrt(10)+sqrt(5*10)$
$= 4 \cdot \sqrt{10} + \sqrt{5 \cdot 5 \cdot 2}$ $=4*sqrt(10)+sqrt(5*5*2)$
$= 4 \cdot \sqrt{10} + \sqrt{5^{2} \cdot 2}$ $=4*sqrt(10)+sqrt(5^2*2)$
$= 4 \sqrt{10} + 5 \sqrt{2}$ $=4sqrt(10)+5sqrt(2)$

Science

Math

Humanities

... and beyond

How do you simplify $\sqrt{10} (4 + \sqrt{5})$ $sqrt 10(4+sqrt 5)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify √10(4+√5)sqrt 10(4+sqrt 5)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\sqrt{10} (4 + \sqrt{5})$ $sqrt 10(4+sqrt 5)$ ?