can someone please help me?
simplify:
[tex]3 \sqrt{98xy} - \sqrt{108xy \:} \: + 2 \sqrt{75xy} [/tex]
[tex]21 \sqrt{2xy} \: + |1| \sqrt{ |2| } [/tex]

can someone please help me simplify tex3 sqrt98xy sqrt108xy 2 sqrt75xy textex21 sqrt2xy 1 sqrt 2 tex class=

Respuesta :

For each square root, you can simplify the expression under the root as

[tex]3\sqrt{98xy}=3\sqrt{2\cdot7^2xy}=3\cdot7\sqrt{2xy}=21\sqrt{2xy}[/tex]

[tex]\sqrt{108y}=\sqrt{2^2\cdot3^3xy}=2\cdot3\sqrt{3xy}=6\sqrt{3xy}[/tex]

[tex]2\sqrt{75xy}=2\sqrt{3\cdot5^2xy}=2\cdot5\sqrt{3xy}=10\sqrt{3xy}[/tex]

So we have

[tex]3\sqrt{98xy}-\sqrt{108xy}+2\sqrt{75xy}=21\sqrt{2xy}-6\sqrt{3xy}+10\sqrt{3xy}[/tex]

[tex]=21\sqrt{2xy}+4\sqrt{3xy}[/tex]

This means [1] = 4 and [2] = [tex]3xy[/tex].