Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify $\sqrt{169 y^{4}}$ $sqrt(169y^4)$ ?

1 Answer

Sep 11, 2015

$\sqrt{169 y^{4}} = 13 y^{2}$ $sqrt(169y^4) = 13y^2$

Explanation:

Since
$XXX 13^{2} = 169$ $color(white)("XXX")13^2 = 169$
and
$XXX {(y^{2})}^{2} = y^{4}$ $color(white)("XXX")(y^2)^2 = y^4$

$\sqrt{169 y^{4}}$ $sqrt(169y^4)$
$XXX = \sqrt{(13^{2}) \cdot {(y^{2})}^{2}}$ $color(white)("XXX")=sqrt((13^2)*(y^2)^2)$

$XXX = \sqrt{13^{2}} \cdot \sqrt{{(y^{2})}^{2}}$ $color(white)("XXX")=sqrt(13^2)* sqrt((y^2)^2)$

$XXX = 13 \cdot y^{2}$ $color(white)("XXX")= 13 * y^2$

$XXX = 13 y^{2}$ $color(white)("XXX")= 13y^2$

Related questions

See all questions in Simplification of Radical Expressions

Impact of this question

1563 views around the world

You can reuse this answer
Creative Commons License