Mathematics: Which number is an irrational number? 2.56

Which number is an irrational number? 2.56

jpsaad00

05.01.2022

$-\sqrt{3}$ is Irrational No.

Step-by-step explanation:

Irrational nos are no which can not be written in $\frac{p}{q}$ form and also decimal expansion of it is non terminating non repeating.

Option 1: $\sqrt{16}$

$\sqrt{16} = \pm 4$ and $\pm 4$ are rational nos.

Thus, This is Rational No.

Option 2: $-\frac{22}{9}$

$-\frac{22}{9}$ , this is already in $\frac{p}{q}$ form.

Thus, This is a Rational No.

Option 3: $-\sqrt{3}$

Decimal expansion of $\sqrt{3}$ is non terminating non repeating

⇒ Decimal expansion of $-\sqrt{3}$ is also non terminating non repeating.

Thus, This is a irrational No.

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dondre54

19.02.2021

m<AOB = 50°

Step-by-step explanation:

<ACB = 25° is an inscribed angle of the circle.

<AOB is a central angle of the circle.

Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:

m<ACB = ½(m<AOB)

Substitute

25° = ½(m<AOB)

Multiply both sides by 2

2*25 = m<AOB

m<AOB = 50°

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