(B) First,simplify the expression inside the square root: $8 + 15 = 23$.Therefore,the expression becomes $\sqrt{23}$.Since $23$ is not a perfect squar

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(B) First,simplify the expression inside the square root: $8 + 15 = 23$.Therefore,the expression becomes $\sqrt{23}$.Since $23$ is not a perfect square,its square root cannot be expressed as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$.Thus,$\sqrt{23}$ is an irrational number.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

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Is $\sqrt{8+15}$ a rational number or an irrational number?

A
Rational number
B
Irrational number
C
Both
D
Neither

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Class 9

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Number Systems

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Mix Examples - Number Systems

Locate $\sqrt{5}, \sqrt{10}$ and $\sqrt{17}$ on the number line.

Medium

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Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$.

Medium

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Insert a rational number and an irrational number between the following:
$2.357$ and $3.121$

Difficult

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Insert a rational number and an irrational number between the following:
$0.15$ and $0.16$

Medium

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Find three different irrational numbers between the rational numbers $\frac{1}{4}$ and $\frac{4}{5}$.

Medium

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Is $\sqrt{8+15}$ a rational number or an irrational number?

Similar Questions

Locate $\sqrt{5}, \sqrt{10}$ and $\sqrt{17}$ on the number line.

Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$.

Insert a rational number and an irrational number between the following:$2.357$ and $3.121$

Insert a rational number and an irrational number between the following:$0.15$ and $0.16$

Find three different irrational numbers between the rational numbers $\frac{1}{4}$ and $\frac{4}{5}$.

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Online Exam Module

Insert a rational number and an irrational number between the following:
$2.357$ and $3.121$

Insert a rational number and an irrational number between the following:
$0.15$ and $0.16$