(C) To solve the expression $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})$,we use the algebraic identity $(a+b)(a-b) = a^2 - b^2$.Here,$a = \sqrt{5}$ and $b

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

(C) To solve the expression $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})$,we use the algebraic identity $(a+b)(a-b) = a^2 - b^2$.Here,$a = \sqrt{5}$ and $b = \sqrt{3}$.Substituting these values into the identity:$(\sqrt{5})^2 - (\sqrt{3})^2 = 5 - 3 = 2$.Therefore,the correct option is $C$.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

For each question,select the proper option from the four options given to make the statement true: $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3}) = \ldots \ldots \ldots$

A
$\sqrt{3}$
B
$\sqrt{2}$
C
$2$
D
$\sqrt{5}$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Number Systems

Subtopic

Mix Examples - Number Systems

Are there two irrational numbers whose sum and product both are rational? Justify.

Easy

View Solution

Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

Medium

View Solution

Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{121}{400}$

Medium

View Solution

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.
$\frac{\sqrt{10}-\sqrt{5}}{2}$

Difficult

View Solution

Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

For each question,select the proper option from the four options given to make the statement true: $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3}) = \ldots \ldots \ldots$

Similar Questions

Are there two irrational numbers whose sum and product both are rational? Justify.

Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

Write the following in decimal form and state what kind of decimal expansion each has:$\frac{121}{400}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.$\frac{\sqrt{10}-\sqrt{5}}{2}$

Insert a rational number and an irrational number between the following:$\frac{-2}{5}$ and $\frac{1}{2}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{121}{400}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.
$\frac{\sqrt{10}-\sqrt{5}}{2}$

Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$