Expert Mathematics Polynomials Class 10 Level 26

कौन सा विकल्प अपरिमेय संख्या को परिमेय संख्या की तरह गलत तरीके से सरल करता है?

Which option incorrectly simplifies an irrational number as if it were rational?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) हमेशा\(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) always

Step 1

Concept

\(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) is generally false, for example \(\sqrt{9+16}\ne3+4\). In exams do not split addition inside a radical.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) हमेशा / \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) always. \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) is generally false, for example \(\sqrt{9+16}\ne3+4\). In exams do not split addition inside a radical.

Step 3

Exam Tip

\(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) सामान्यतः गलत है, जैसे \(\sqrt{9+16}\ne3+4\)। परीक्षा में मूल के अंदर योग को अलग-अलग न तोड़ें।

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Mathematics Answer, Explanation and Revision Hints

कौन सा विकल्प अपरिमेय संख्या को परिमेय संख्या की तरह गलत तरीके से सरल करता है? / Which option incorrectly simplifies an irrational number as if it were rational?

Correct Answer: A. \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) हमेशा / \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) always. Explanation: \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) सामान्यतः गलत है, जैसे \(\sqrt{9+16}\ne3+4\)। परीक्षा में मूल के अंदर योग को अलग-अलग न तोड़ें। / \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) is generally false, for example \(\sqrt{9+16}\ne3+4\). In exams do not split addition inside a radical.

Which concept should I revise for this Mathematics MCQ?

\(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) is generally false, for example \(\sqrt{9+16}\ne3+4\). In exams do not split addition inside a radical.

What exam hint can help solve this Mathematics question?

\(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) सामान्यतः गलत है, जैसे \(\sqrt{9+16}\ne3+4\)। परीक्षा में मूल के अंदर योग को अलग-अलग न तोड़ें।

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