Operations with radicals involving variables

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSN.RN.A.2

Simplify
 $8x\sqrt{10x^2}-7\sqrt{10x^4}$  

•  $15x^2\sqrt{10}$  

•  $8x\sqrt{10}-7x^2\sqrt{10}$  

•  $x^2\sqrt{10}$  

•  $8x^3\sqrt{10}-7x^2\sqrt{10}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Tags

CCSS.HSN.RN.A.2

Simplify
 $x\sqrt{18x^3}+\sqrt{50x}$  

•  $8x^2\sqrt{2x}$  

•  $15x^2\sqrt{2x}$  

• I have no idea!

•  $\sqrt{2x}\left(3x^2+5\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify
 $7x^2\sqrt{24x^5}-3\sqrt{54x}$  

•  $5x^4\sqrt{6x}$  

•  $\sqrt{6x}\left(14x^6-9\right)$  

•  $\sqrt{6x}\left(14x^4-9\right)$  
  

•  $5x^6\sqrt{6x}$  

Tags

CCSS.HSN.RN.A.2

Simplify
 $\sqrt{12x^4}\cdot4\sqrt{10x}$  

•  $8x^2\sqrt{30x}$  

•  $16x^4\sqrt{30x}$  

•  $120x^2\sqrt{2x}$  

•  $120x^4\sqrt{2x}$  

Tags

CCSS.HSN.RN.A.2

Simplify
 $7\sqrt{9x^3}\cdot-2\sqrt{6x^3}$  

•  $-42x^6\sqrt{6}$  

•  $-42x^3\sqrt{6}$  

•  $14x^3\sqrt{6x}$  

•  $-14x^6\sqrt{6}$  

Tags

CCSS.HSN.RN.A.2

Simplify
 $-5\sqrt{5}\left(\sqrt{5x}+\sqrt{2x^2}\right)$  

•  $-25\sqrt{x}-10x\sqrt{5}$  

•  $-125\sqrt{x}-5x^2\sqrt{10}$  

•  $-125\sqrt{x}-10x\sqrt{5}$  

•  $-25\sqrt{x}-5x\sqrt{10}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify
$2\sqrt{15x}\left(5\sqrt{3x^3}+4x^2\right)$

• $90x^4\sqrt{5}+8x^2\sqrt{15x}$

• $30x^2\sqrt{5}+8x^2\sqrt{15x}$

• $38x^2\sqrt{75x}$

• $\sqrt{5x}\left(30x^2+8x^2\sqrt{3}\right)$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Which of the following is something we should not do when struggling with new skills and/or concepts (not just in Math but anytime)?

• Practice

• Ask questions

• Give up

• Pay attention