Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the square root of 196y^10?

1 Answer

Sep 11, 2015

$\sqrt{196 y^{10}} = ∣ ∣ 14 y^{5} ∣ ∣$ $sqrt(196y^10) = abs(14y^5)$

Explanation:

$\sqrt{196 y^{10}}$ $sqrt(196y^10)$

$= \sqrt{14^{2} \times {(y^{5})}^{2}}$ $=sqrt(14^2xx(y^5)^2)$

$= \sqrt{14^{2}} \times \sqrt{{(y^{5})}^{2}}$ $= sqrt(14^2)xxsqrt((y^5)^2)$

$= | 14 | \times ∣ ∣ y^{5} ∣ ∣ XXX$ $= abs(14)xxabs(y^5)color(white)("XXX")$ ...we use absolute values to ensure principal roots only)

$= ∣ ∣ 14 y^{5} ∣ ∣$ $= abs(14y^5)$

Related questions

See all questions in Simplification of Radical Expressions

Impact of this question

1311 views around the world

You can reuse this answer
Creative Commons License