Question

why does the reciprocal of (2√5)/5 equals √5/2 ???

Answer 1

because \(\huge \frac{\sqrt 5}{5}=\frac{\sqrt 5}{\sqrt5.\sqrt 5}=\frac{1}{\sqrt 5}\)

Answer 2

i still dont get it..><

Answer 3

\(\huge \frac{2\sqrt 5}{5}=\frac{2\sqrt 5}{\sqrt5.\sqrt 5}=\frac{2}{\sqrt 5}\)
which step ?

Answer 4

(2√5)/5 can also be written as \[\frac{ 2 }{ \sqrt{5} }\]

Answer 5

reciprocal means inversing the ratio,
a/b becomes b/a

Answer 6

why is the denominator √5 multiply by √5

Answer 7

any number can be expressed as
\(a=\sqrt a.\sqrt a\)

Answer 8

\(x^m.x^n=x^{m+n} \\so, \huge \sqrt 5.\sqrt 5= 5^{1/2}.5^{1/2}=5^{1/2+1/2}=5^1\)

Answer 9

doubts ?

Answer 10

wait basically....√5 and 5 is the same?

Answer 11

no.... 5 and \(\sqrt 5.\sqrt 5\) are same.

Answer 12

but why do we have to multply by √5??

Answer 13

OMG i think i got it!!

Answer 14

i am glad!

Answer 15

so first, the reciprocal of (2√5)/5 is 5/2√5

Answer 16

but 5 = √5 . √5

Answer 17

es, you can do that way also!

Answer 18

and √5 crosses out which equals. √5 / 2!!

Answer 19

thank you soooo much!!!! im sorry if i put some streess on you!! i am really bad at math ><

Answer 20

no problem at all :)
welcome ^_^