+0

# ​ What is the simplest form of the radical expression 48x4y3−−−−−√ ?

0
42
1
+435

What is the simplest form of the radical expression 48x4y3−−−−−−√ ?

SamJones  Mar 1, 2018
Sort:

#1
+6512
0

$$\quad\sqrt{48x^4y^3} \\ =\\ \quad\sqrt{2\cdot2\cdot2\cdot2\cdot3\cdot x^4\cdot y^3} \\ =\\ \quad\sqrt{2^4\cdot3\cdot x^4\cdot y^3} \\ =\\ \quad\sqrt{2^4\cdot3\cdot x^4\cdot y^2\cdot y} \\ =\\ \quad\sqrt{2^4\cdot x^4\cdot y^2\cdot 3\cdot y} \\ =$$

$$\quad\sqrt{2^4}\cdot \sqrt{x^4}\cdot \sqrt{y^2}\cdot \sqrt{3\cdot y}\\ =\\ \quad2^2\cdot x^2\cdot y\cdot\sqrt{3\cdot y}\\ =\\ \quad4x^2y\sqrt{3 y}$$          Since  x  and  y  are positive, we can say...

hectictar  Mar 4, 2018
edited by hectictar  Mar 4, 2018

### 21 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details