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Simplify square root 72 minus 3 times square root 12 plus square root of 192


A. 6 square root 2 plus 2 square root 3

B. 12 square root 2 plus 2

C. 14 square root 2

D. 8 square root 3 minus square root 1

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Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

√72-3×√12+√192

As we have

[tex]\sqrt{72}=6\sqrt{2}[/tex]

[tex]\sqrt{12}=6\sqrt{2}[/tex]

[tex]\sqrt{192}=8\sqrt{3}[/tex]

So, our equation becomes

[tex]6\sqrt{2}-3\times 2\sqrt{3}+8\sqrt{3}\\\\=6\sqrt{2}-6\sqrt{3}+8\sqrt{3}\\\\=6\sqrt{2}+2\sqrt{3}[/tex]

Hence, Option 'A' is correct.

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