2007-04-06 11:09:26 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
√10 / √5 - 2 =
√10√5 + 2 / √5 - 2√5 + 2 =
√50 + 2 / √25 - 4 =
√25√2 + 2 / 5 - 4
5√2 + 2 / 1
- - - - - - - - - -s-
2007-04-06 11:35:01 · answer #1 · answered by SAMUEL D 7 · 1⤊ 1⤋
â10 / (â5 - 2) =
â10 (â5 + 2) / [(â5 - 2) (â5 + 2)]=
â10 (â5 + 2) / [5 - 4]=
â10 (â5 + 2)
5â2 + 2â10
2007-04-06 18:21:08 · answer #2 · answered by Alexander 6 · 2⤊ 0⤋
Rationalize the denominator & simplify.
V`10 / V`(5) - 2
First: multiply the conjugate of V`(5) - 2 with the numerator & denominator which is, V`(5) + 2
[ V`(5)+2] [V`10] / [V`(5)+2 ] [V`(5)-2]
Sec: combine the numerators & denominators.
[V`(5*10)+2V`(10)] / [V`(5)*V`(5)+2V`(5)-2V`(5)-2*2]
[V`(50)+2V`(10)] / [V`(25)+2V`(5)-2V`(5)-4]
[V`(50)+2V`(10)] / [5+2V`(5)-2V`(5)-4]
[V`(50)+2V`(10)] / [5-4]
[V`(2*5*5)+2V`(10)] / 1
5 V`(2) + 2V`(10)
2007-04-06 22:43:22 · answer #3 · answered by ♪♥Annie♥♪ 6 · 1⤊ 1⤋
sqrt 10/(sqrt5) - 2
= sqrt 10/((sqrt 5) -2 ) x ((sqrt 5) + 2)/((sqrt 5) +2)
= ((sqrt 10) (sqrt 5) + 2sqrt(10)/(5 -4)
= (sqrt10) (sqrt5) + 2sqrt10
= sqrt 50 + 2sqrt10
= (sqrt25 ) (sqrt 2) + 2sqrt10
= 5sqrt2 + 2sqrt10
2007-04-06 18:27:10 · answer #4 · answered by frank 7 · 2⤊ 0⤋