Concept-wise Practice

cancellation MCQ Questions for Class 10

cancellation se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with cancellation.

Question 1/2 Expert Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

यदि \(x=\sqrt{2}+\sqrt{3}\), तो \(x^2-2\sqrt{6}\) का मान क्या है?

If \(x=\sqrt{2}+\sqrt{3}\), what is the value of \(x^2-2\sqrt{6}\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

(x-2=\(\sqrt{2}+\sqrt{3}\)2=5+2\sqrt{6}).

Step 2

Why this answer is correct

Subtracting \(2\sqrt{6}\) leaves (5).

Step 3

Exam Tip

After squaring, cancel like irrational terms. चरण 1: (x-2=\(\sqrt{2}+\sqrt{3}\)2=5+2\sqrt{6})। चरण 2: इसमें से \(2\sqrt{6}\) घटाने पर (5) बचता है। चरण 3: वर्ग करने के बाद समान अपरिमेय पदों को काटें।

Open Question Page
Ask Friends
Question 2/2 Hard Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

किस विकल्प में दी गई संख्या (0) के बराबर है?

Which option is equal to (0)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{8}-2\sqrt{2}\)

Step 1

Concept

\(\sqrt{8}=2\sqrt{2}\).

Step 2

Why this answer is correct

Therefore \(\sqrt{8}-2\sqrt{2}=0\), which is rational.

Step 3

Exam Tip

Sometimes terms that look irrational cancel completely. चरण 1: \(\sqrt{8}=2\sqrt{2}\) है। चरण 2: इसलिए \(\sqrt{8}-2\sqrt{2}=0\), जो परिमेय है। चरण 3: कभी-कभी अपरिमेय जैसे दिखने वाले पद पूरी तरह कट जाते हैं।

Open Question Page
Ask Friends
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.