What is the simplified form of the following expression? 5√8-√18-2√2
A. 2√2
B. 5√2
C. 9√2
D. 15√2

Respuesta :

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

[tex]= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex]

Now simplify the above

Terms are written as

[tex]\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}[/tex]

[tex]\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}[/tex]

Put in the above expression.

[tex]= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}[/tex]

[tex]= 10 \sqrt{2} -5 \sqrt{2}[/tex]

[tex]=5 \sqrt{2}[/tex]

[tex]Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .[/tex]





Answer:

B is the correct answer

Step-by-step explanation:

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