Answered

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The number (√5+2)/(√5-2)
is:
(a) a rational number
(b) an irrational number
(c) an integer
(d) a natural number

Sagot :

altavistard

Answer:

b:  irrational

Step-by-step explanation:

  (√5+2)

--------------  is given.

  (√5 - 2)

If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:

(√5+2)(√5+2)

---------------------

(√5+2)(√5- 2)

and the denominator becomes 5 - 2, or 3.  The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.

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