Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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