Question

which of the following is not irrational number?
(1)√2
(2)2/√6
(3)√36/1296
(4)-√6+6

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Answer 1

Explanation:

hi !!

here i think all areirrational expect root 36/1296,

1. root 2= root 2= 1.414213562

2. 2/root 6= root 6 /3 = 0.8164965809

3. root 36/1296=1/6=1.66666667

4. - root 6+6= -2 root 3 = -3.464101615

so, they are extended and dont have exact value so all are irrational expect no. 3 because it can be expressed in 1/6 fraction form but others will come on root form.

Hope it helps...

Answer 2

Answer:

$\frac{\sqrt{36} }{1296}$

Explanation:

$\sf A \ rational \ number \ can \ be \ expressed \ as \ a \ quotient \ of \ two \ whole \ integers.$

$\sqrt{2} = 1.41421356237...$

$\frac{2}{\sqrt{6} } = 0.816497...$

$\frac{\sqrt{36} }{1296} =\frac{6}{1296} =\frac{1}{216}$

$-\sqrt{6} +6= 3.55051...$

$\sf The \ rational \ number \ from \ the \ list \ is \ \frac{\sqrt{36} }{1296}$