For each question,select the proper option fr | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To determine the nature of the number $\frac{\sqrt{50}}{\sqrt{98}}$,we simplify the expression:$\frac{\sqrt{50}}{\sqrt{98}} = \sqrt{\frac{50}{98}}

Vedclass · Accepted Answer

rational

Vedclass · Answer

(D) To determine the nature of the number $\frac{\sqrt{50}}{\sqrt{98}}$,we simplify the expression:$\frac{\sqrt{50}}{\sqrt{98}} = \sqrt{\frac{50}{98}}$Divide both the numerator and the denominator by $2$:$\sqrt{\frac{50 \div 2}{98 \div 2}} = \sqrt{\frac{25}{49}}$Since $\sqrt{25} = 5$ and $\sqrt{49} = 7$,the expression simplifies to $\frac{5}{7}$.$A$ number that can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q 
eq 0$,is a rational number.Since $\frac{5}{7}$ fits this definition,the number is rational.

For each question,select the proper option from four options given,to make the statement true: $\frac{\sqrt{50}}{\sqrt{98}}$ is a $\ldots \ldots \ldots$ number.

Similar Questions

State the number which is a whole number but not a natural number.

Find the value of the following expression correct to three decimal places,rationalizing the denominator if needed. Take $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$.
$\frac{\sqrt{2}}{2+\sqrt{2}}$

Simplify: $5 \sqrt{2} + 2 \sqrt{8} - 3 \sqrt{32} + 4 \sqrt{128}$ (in $\sqrt{2}$)

Express $2.\overline{137}$ in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$.

For each question,select the proper option from the four options given to make the statement true: $0.\overline{3} = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module