Square Roots with Variables

 $Simplify\ the\ radical.$   $\sqrt{125x^2}$  

•  $\sqrt{25x^2}\ \times\sqrt{5}$  

•  $5x\sqrt{5}$  

 $Simplify\ the\ radical.\$   $\sqrt{245u^4v^4}$  

•  $7u^2v^2\sqrt{5}$  

•  $\sqrt{49u^4v^4}x\ \sqrt{5}$  

 $Simplify\ the\ radical.\$   $-3\sqrt{100ab^6}$  

•  $-3\sqrt{100b^6}\ x\ \sqrt{a}$  

•  $-30b^3\sqrt{a}$  

•  $-3\ x\ 10b^3\ x\ \sqrt{a}$  

 $Simplify\ the\ radical.$   $\sqrt{80a^2b^3c^3}$  

•  $\sqrt{4a^2b^2c^2}x\ \sqrt{5bc}$  

•  $\sqrt{16a^2b^2c^2\ }\ x\ \sqrt{5bc}$  

•  $4abc\sqrt{5bc}$  

Tags

CCSS.HSN.RN.A.2

 $Simplify\ the\ radical.\ \sqrt{512p^9q^4r^{10}}$  

•  $256\sqrt{p^8q^4r^{10\ }}\ x\ \sqrt{2p}$  

•  $\sqrt{16p^4q^2r^5}\ x\ \sqrt{2p}$  

•  $16p^4q^2r^5\sqrt{2p}$  

Tags

CCSS.HSN.RN.A.2

 $Simplify\ the\ radical.\ \ -2\sqrt{192x^{25}y^{18}}$  

•  $-16x^{12}y^9\sqrt{3x}$  

•  $-16x^9y^{12}\sqrt{3x}$  

•  $16x^{12}y^9\sqrt{3x}$  

 $Simplify\ the\ radical.\ \ -2\sqrt{108m^{13}n^8}$  

•  $-2\sqrt{36m^{12}n^8}\ x\ \sqrt{3m}$  

•  $-12m^6n^4\sqrt{3m}$  

•  $-2\sqrt{6m^6\ n^4}\ x\ \sqrt{3m}$  

Tags

CCSS.HSN.RN.A.2

 $Simplify\ the\ radical.\ \ -8\sqrt{27x^{10}y^5z^{17}}$  

•  $-8\sqrt{9x^{10}y^4z^{16}}\ x\ \sqrt{3yz}$  

•  $-24x^5y^2z^8\sqrt{3yz}$  

•  $-8\times3x^5y^2z^8\sqrt{3yz}$