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. 3√24− 5√5

hint Hint:

Use properties of rational and irrational numbers.

The correct answer is: irrational number.

Complete step by step solution:
$3 square root of 24 equals 6 square root of 6$ (It is an irrational number)
$5 square root of 5$ (It is an irrational number)
Here both the numbers are irrational.
On subtraction, we have $6 square root of 6 minus 5 square root of 5$ , we get an irrational number.
This cant be written in the form $p over q$ , where p and q are integers.
∴ $3 square root of 24 minus 5 square root of 5$ is an irrational number.

Related Questions to study

In △ABC, AD and are the bisectors of ∠A and ∠C respectively. AD and CE intersect at . If ∠ABC = 90^∘, then find ∠AOC.

In △ABC, AD and are the bisectors of ∠A and ∠C respectively. AD and CE intersect at . If ∠ABC = 90^∘, then find ∠AOC.

$A B C text is a right triangle with end text straight angle A equals 90 to the power of ring operator BL text and end text CM text are its medians. Prove that end text 4 open parentheses BL squared plus CM squared close parentheses equals 5 BC squared text . end text$

$A B C text is a right triangle with end text straight angle A equals 90 to the power of ring operator BL text and end text CM text are its medians. Prove that end text 4 open parentheses BL squared plus CM squared close parentheses equals 5 BC squared text . end text$

Classify whether the following Surd is rational or irrational , justify 4√5+ 9

Classify whether the following Surd is rational or irrational , justify 4√5+ 9

parallel

PQR is a triangle in which PQ=PR.S is any point on the side PQ. Through S, a line is drawn parallel to QR intersecting PR at T. Prove that PS = PT.

PQR is a triangle in which PQ=PR.S is any point on the side PQ. Through S, a line is drawn parallel to QR intersecting PR at T. Prove that PS = PT.

$text In Triangle end text A B C text , If end text A D text is the median show that, end text A B squared plus A C squared equals 2 open parentheses A D squared plus B D squared close parentheses$

$text In Triangle end text A B C text , If end text A D text is the median show that, end text A B squared plus A C squared equals 2 open parentheses A D squared plus B D squared close parentheses$

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

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

parallel

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

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.