acidxfairy
acidxfairy acidxfairy
  • 22-03-2019
  • Mathematics
contestada

simplify the sum or difference -6√10+5√90
A. 9√10 (CORRECT ANSWER)
B. -9√10
C -39√10
D - 10

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 31-03-2019

Answer:

A. [tex]9\sqrt{10}[/tex]

Step-by-step explanation:

The given expression is   [tex]-6\sqrt{10}+5\sqrt{90}[/tex]

Remove the perfect square from the second radical.

[tex]=-6\sqrt{10}+5\sqrt{9\times10}[/tex]

[tex]=-6\sqrt{10}+5\sqrt{9} \times \sqrt{10}[/tex]

This implies

[tex]=-6\sqrt{10}+15\sqrt{10}[/tex]

[tex]=(-6+15)\sqrt{10}[/tex]

[tex]=9\sqrt{10}[/tex]

The correct choice is A

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