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Answer :

A) 5√3 + 3√5
B) 4√2 + 4√7

Answer:

[tex]a)\:5\sqrt{3}+3\sqrt{5}[/tex]

[tex]b)-6\sqrt{2}+4\sqrt{7}[/tex]

Step-by-step explanation:

[tex]a)\:9\sqrt{3}-4\sqrt{3}+\sqrt{5}+2\sqrt{5}[/tex]

We need to combine like terms:

[tex]9\sqrt{3}-4\sqrt{3}[/tex]

[tex]=5\sqrt{3}[/tex]

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

[tex]=3\sqrt{5}[/tex]

[tex]5\sqrt{3}+3\sqrt{5}[/tex]

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Combine like terms:

[tex]b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}[/tex]

[tex]0\cdot \sqrt{2}-6\sqrt{2}[/tex]

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

[tex]-6\sqrt{2}+4\sqrt{7}[/tex]

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