SOLUTION: I am struggling with this one majorly. How do I multiply each radical and simplify ? (2√7+6√2)(√7+4√2) (2 square root 7 + 6 square root 2)( square root

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am struggling with this one majorly. How do I multiply each radical and simplify ? (2√7+6√2)(√7+4√2) (2 square root 7 + 6 square root 2)( square root       Log On


   



Question 1041213: I am struggling with this one majorly. How do I multiply each radical and simplify ?
(2√7+6√2)(√7+4√2)
(2 square root 7 + 6 square root 2)( square root 7 + 4 square root 2)
The teacher gave us the answer: 62+14√14
I am trying to figure out how she got that.
Thank you for your help

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(2√7+6√2)(√7+4√2)
----
Distribute the 1st parenthesis::
(2sqrt(7)+7Sqrt(2)(sqrt(7)) + (2sqrt(7)+6sqrt(2))(4sqrt(2)
----------------------
Distribute in each of the two terms to get:
= 2*7 + 7sqrt(14) + 8sqrt(14) + 24*2
------------
= 14 + 48 + 15sqrt(14)
========
= 62 + 15*sqrt(14)
---------------
Cheers,
Stan H.
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Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

I am struggling with this one majorly. How do I multiply each radical and simplify ?
(2√7+6√2)(√7+4√2)
(2 square root 7 + 6 square root 2)( square root 7 + 4 square root 2)
The teacher gave us the answer: 62+14√14
I am trying to figure out how she got that.
Thank you for your help
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2%287%29+%2B+8sqrt%2814%29+%2B+6sqrt%2814%29+%2B+24+%2A+2
14+%2B+14sqrt%2814%29+%2B+48_______highlight_green%2862+%2B+14sqrt%2814%29%29