(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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Mix Examples - Number Systems

Multiply $5 \sqrt{3}$ and $4 \sqrt{12}$.

Easy

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Find the value of $\left(\frac{125}{64}\right)^{-\frac{2}{3}}$.

Easy

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2555 \ldots$

Medium

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For each question,select the proper option from four options given,to make the statement true: $0.3\overline{6}=$

Easy

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Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3\sqrt{18}$

Medium

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

Similar Questions

Multiply $5 \sqrt{3}$ and $4 \sqrt{12}$.

Find the value of $\left(\frac{125}{64}\right)^{-\frac{2}{3}}$.

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :$0.2555 \ldots$

For each question,select the proper option from four options given,to make the statement true: $0.3\overline{6}=$

Classify the following numbers as rational or irrational with justification:$(i)$ $\sqrt{196}$$(ii)$ $3\sqrt{18}$

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Online Exam Module

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2555 \ldots$

Classify the following numbers as rational or irrational with justification:
$(i)$ $\sqrt{196}$
$(ii)$ $3\sqrt{18}$