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simplify the radical expression. 2 sqrt6 + 3 sqrt 96
a)14 sqt 6
b)14 sqrt 96
c)5 sqrt 96
d)5 sqrt 6


Sagot :

the answer would be a) 14 sqrt 6 
[tex]2 \sqrt{6} + 3 \sqrt{96} [/tex]

First break down 96 into the smaller factors of 6 and 16
[tex]2 \sqrt{6} + 3 \sqrt{16*6} [/tex]

Now the square root of 16 comes out even as 4 so you can evaluate that part.
[tex]2 \sqrt{6} + (3 * 4) \sqrt{6} [/tex]

Multiply 3 and 4 to get 12
[tex]2 \sqrt{6} + 12 \sqrt{6} [/tex]

And now that the square roots on both parts of the eqations are the same you can add them to get: [tex]14 \sqrt{6} [/tex]

Therefore your answer is a