Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify square root of 10 times square root of 8?

1 Answer

Oct 9, 2015

$\sqrt{10} \times \sqrt{8} = 4 \sqrt{5}$ $sqrt(10)xxsqrt(8)=4sqrt(5)$

Explanation:

$\sqrt{10} \times \sqrt{8}$ $color(red)(sqrt(10))xxcolor(blue)(sqrt(8))$

$XX = \sqrt{2} \cdot \sqrt{5} \times \sqrt{2} \cdot {\sqrt{2}}^{2}$ $color(white)("XX")=color(red)(sqrt(2)*sqrt(5))xxcolor(blue)(sqrt(2)*sqrt(2)^2)$

$XX = \sqrt{2} \cdot \sqrt{2} \cdot 2 \cdot \sqrt{5}$ $color(white)("XX")=color(red)(sqrt(2))*color(blue)(sqrt(2)*2)*color(red)(sqrt(5))$

$XX = 2 \cdot 2 \cdot \sqrt{5}$ $color(white)("XX")=2*color(blue)(2)*color(red)(sqrt(5))$

$XX = 4 \sqrt{5}$ $color(white)("XX")=4sqrt(5)$

Related questions

See all questions in Multiplication and Division of Radicals

Impact of this question

8465 views around the world

You can reuse this answer
Creative Commons License