SOLUTION: 13 sqrt 20 - 15 sqrt 32 - 8 sqrt 45 + 7 sqrt 8

Question 199837: 13 sqrt 20 - 15 sqrt 32 - 8 sqrt 45 + 7 sqrt 8
Found 2 solutions by RAY100, jim_thompson5910:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
13 sqrt20 -15 sqrt32 -8sqrt45+7sqrt8
.
factor all radicals for largest perfect square
.
13 sqrt( 4*5) -15 sqrt(16*2) -8sqrt(9*5) +7sqrt(4*2)
.
13 sqrt4 * sqrt5 - 15 sqrt16 *sqrt2 -8sqrt9*sqrt5 +7 sqrt4*sqrt2
.
13*2sqrt5 -15*4sqrt2 -8*3sqrt5 +7*2sqrt2
.
collect like terms
.
26 sqrt5 -24sqrt5 -60sqrt2 +14 sqrt2
.
2 sqrt5 -46 sqrt2
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check using calculator on original and answer,,,,both = -60.58,,,,,ok
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Simplify to get .

Simplify to get .

Simplify to get .

Simplify to get .

Multiply 13 and 2 to get 26.

Multiply 15 and 4 to get 60.

Multiply 8 and 3 to get 24.

Multiply 7 and 2 to get 14.

Combine like terms.

So simplifies to .

In other words,
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