SOLUTION: Can someone pleas help me with this radical problem
√[50] + 2√[32] – √[8]
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Question 196319: Can someone pleas help me with this radical problem
√[50] + 2√[32] – √[8]
Found 2 solutions by nerdybill, RAY100:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Pulling out "pairs" from underneath radical:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
sqrt 50 +2sqrt32 -sqrt8
.
Usually this imvolves factoring under the radical, but with perfect squares only (1,4,9,16 etc)
.
sqrt(25*2) + 2sqrt(16*2) -sqrt(4*2)
.
separate factors using ,,,sqrt a*b = sqrt(a) *sqrt(b)
.
sqrt25*sqrt2 +2sqrt16*sqrt2 -sqrt4 sqrt2
.
5sqrt2 + 2*4*sqrt 2 - 2sqrt2
.
collect like terms,,, in the case sqrt2
.
(5 +2*4 -2) sqrt2
.
(5+8-2) sqrt2
.
11 sqrt2,,,,,, answer
.
checking by using calculator on answer (15.56),,,and on original (15.56),,,ok
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