SOLUTION: Expand (4-3sqrt2)^2 (4-3sqrt2)(4-3sqrt2) By FOIL we have: (4-3sqrt(2))*(4-3sqrt(2)) = 4*4 - 12*sqrt(2) - 12*sqrt(2) + 3sqrt(2)*3sqrt(2) = 16 - 24*sqrt(2) + 18 = 34 - 24*sqrt(

Algebra.Com
Question 305056: Expand (4-3sqrt2)^2
(4-3sqrt2)(4-3sqrt2)
By FOIL we have:
(4-3sqrt(2))*(4-3sqrt(2)) =
4*4 - 12*sqrt(2) - 12*sqrt(2) + 3sqrt(2)*3sqrt(2) =
16 - 24*sqrt(2) + 18 =
34 - 24*sqrt(2)
Found 2 solutions by dabanfield, Rustleford:
Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!
Expand (4-3 sqrt2)^2
(4 - 3sqrt(2))^2 = (4-sqrt(2))*(4-sqrt(2))
By FOIL we have:
(4-sqrt(2))*(4-sqrt(2)) =
4*4 - 4*sqrt(2) - 4*sqrt(2) + sqrt(2)*sqrt(2) =
16 - 8*sqrt(2) + 2 =
18 - 8*sqrt(2)



Answer by Rustleford(1)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=2.
  • Graphical form: Equation was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x+x-x+2x=6 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29,highlight_red%28+-x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-6+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+3%2Ax-6=0+%29 equivalent to 3*x-6 =0
It becomes .
Result:
This is an equation! Solutions: x=2.

Universal Simplifier and Solver


Done!
RELATED QUESTIONS

sqrt(2)+3sqrt(2) (answered by jim_thompson5910)
{{{ 7sqrt(72) - 2sqrt(50)}}} {{{ 2^3sqrt(54x^4) - 3^3sqrt(16x^4)}}} {{{ 6sqrt(98) - (answered by jim_thompson5910)
(x-2)^3/4 = 2 [(x-2)^3/4]^4 = 2^-4 (x-2)^3 =-8 x-2 = 3sqrt-8 = 3sqrt2 * 3sqrt-4 x =... (answered by stanbon)
Multiply. Assume variables represent nonnegative real numbers 1.... (answered by jsmallt9)
a) 6+ sqrt( x-y) = x+y+ 3sqrt(2) b) xy+ sqrt( x+y) = 5/4 + sqrt(3) c) x+y sqrt(5) =... (answered by ikleyn)
3sqrt(2)+4sqrt(2) (answered by jim_thompson5910)
Simplify - Step by Step sqrt(7)+3,sqrt(98) sqrt(7)+3,sqrt(98) 21√2 +... (answered by Alan3354)
{{{3sqrt(x-2)=3}}} (answered by ewatrrr)
FInd x and y in the following: a) 6+sqrt{x-y}=x+y+3sqrt{2} b) xy+sqrt{x+y}= (5/4) +... (answered by josgarithmetic)