Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Classify whether the following Surd is rational or irrational , justify 8-√48

hint Hint:

Use properties of rational and irrational numbers.

The correct answer is: irrational number.

Complete step by step solution:
On prime factorization, we can write
$square root of 48 equals 4 square root of 3$ (It is an irrational number)
$8 equals 8 over 1$ (It is a rational number)
Here one number is irrational and the other is rational.
On subtraction, we have $8 minus 4 square root of 3$ , we get an irrational number.
(Since rational number - irrational number = irrational number)
This cant be written in the form $p over q$ , where p and q are integers.
∴ $8 minus square root of 48$ is an irrational number.

Related Questions to study

Classify whether the following Surd is rational or irrational , Justify.√47+√8

Classify whether the following Surd is rational or irrational , Justify.√47+√8

In the figure, sides QP and RQ of a $straight triangle P R R$ are produced to points S and T respectively.
If $straight angle SPR equals 135 to the power of ring operator$ and $straight angle POT equals 110 to the power of ring operator$ , find $straight angle PRQ$ .

In the figure, sides QP and RQ of a $straight triangle P R R$ are produced to points S and T respectively.
If $straight angle SPR equals 135 to the power of ring operator$ and $straight angle POT equals 110 to the power of ring operator$ , find $straight angle PRQ$ .

Simplify √8 - √18 + √50

Simplify √8 - √18 + √50

parallel

$text In a Triangle end text A B C comma less than B greater than 90 to the power of ring operator text and end text A D text is drawn perpendicular to end text B C text . Prove that end text A C squared equals A B squared plus B C squared plus 2 B C. B D$

$text In a Triangle end text A B C comma less than B greater than 90 to the power of ring operator text and end text A D text is drawn perpendicular to end text B C text . Prove that end text A C squared equals A B squared plus B C squared plus 2 B C. B D$

Prove in the given figure, side QR of a $straight triangle space PQR$ is produced to a point S.
If the bisector of $straight angle PQR$ and $straight angle PRS$ meet at the point T, then prove
$straight angle QTR equals 1 half straight angle QPR$

Prove in the given figure, side QR of a $straight triangle space PQR$ is produced to a point S.
If the bisector of $straight angle PQR$ and $straight angle PRS$ meet at the point T, then prove
$straight angle QTR equals 1 half straight angle QPR$

In an equilateral triangle ABC,D is a point on the side BC , such that $BD equals 1 third BC$ . Prove that
$9 AD squared equals 7 AB squared$

In an equilateral triangle ABC,D is a point on the side BC , such that $BD equals 1 third BC$ . Prove that
$9 AD squared equals 7 AB squared$

parallel

In the figure, find the value of x.

In the figure, find the value of x.

$text In a Triangle end text A B C comma less than B less than 90 to the power of ring operator text and end text A D text is drawn perpendicular to end text B C text . Prove that end text A C squared equals A B squared plus B C squared minus 2 B C. B D$

$text In a Triangle end text A B C comma less than B less than 90 to the power of ring operator text and end text A D text is drawn perpendicular to end text B C text . Prove that end text A C squared equals A B squared plus B C squared minus 2 B C. B D$

Simplify √12 - √48 +√1323

Simplify √12 - √48 +√1323

parallel

In $straight triangle A B C$ , the bisectors of $straight angle A B C$ and $straight angle B C A$ intersect each other at O. Prove that $straight angle B O C equals$ $90 to the power of ring operator plus 1 half straight angle A$

In $straight triangle A B C$ , the bisectors of $straight angle A B C$ and $straight angle B C A$ intersect each other at O. Prove that $straight angle B O C equals$ $90 to the power of ring operator plus 1 half straight angle A$

and are the medians of a $straight triangle ABC$ right angled at . Prove that $4 open parentheses BL squared plus C straight C squared close parentheses equals 5 BC squared$ .

and are the medians of a $straight triangle ABC$ right angled at . Prove that $4 open parentheses BL squared plus C straight C squared close parentheses equals 5 BC squared$ .

In $straight triangle space ABC$ right angled at A, AL is drawn perpendicular to BC. Prove that $straight angle BAL equals straight angle ACB$ .

In $straight triangle space ABC$ right angled at A, AL is drawn perpendicular to BC. Prove that $straight angle BAL equals straight angle ACB$ .

parallel

Simplify √50 - √98 + √162

Simplify √50 - √98 + √162

A fish tank is in the shape of a cube . Its volume is 125 Cubic feet . What is the area of one face of the tank ?

A fish tank is in the shape of a cube . Its volume is 125 Cubic feet . What is the area of one face of the tank ?

In the adjacent figure, points B, A, D are collinear and AD = AC.
Given that $straight angle space BAC equals 50 to the power of ring operator$ and $straight angle B C D equals 80 to the power of ring operator$ . Find $straight angle space ABC space text and end text straight angle space ACB$ .

In the adjacent figure, points B, A, D are collinear and AD = AC.
Given that $straight angle space BAC equals 50 to the power of ring operator$ and $straight angle B C D equals 80 to the power of ring operator$ . Find $straight angle space ABC space text and end text straight angle space ACB$ .

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.