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2 results found for "square-root-rules" in Class 10.

Question Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

कौन सा विकल्प \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) के गलत होने का सही प्रतिउदाहरण है?

Which option is a correct counterexample showing that \(\sqrt{a+b}=\sqrt{a}+\sqrt{b}\) is false?

Explanation opens after your attempt
Correct Answer

A. (a=9) और (b=16)(a=9) and (b=16)

Step 1

Concept

\(\sqrt{9+16}=5\) while \(\sqrt{9}+\sqrt{16}=7\). In exams do not split addition inside a radical.

Step 2

Why this answer is correct

The correct answer is A. (a=9) और (b=16) / (a=9) and (b=16). \(\sqrt{9+16}=5\) while \(\sqrt{9}+\sqrt{16}=7\). In exams do not split addition inside a radical.

Step 3

Exam Tip

\(\sqrt{9+16}=5\) है जबकि \(\sqrt{9}+\sqrt{16}=7\) है। परीक्षा में मूल के अंदर के योग को अलग-अलग न तोड़ें।

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Question Expert Mathematics Polynomials Irrational numbers and real numbers 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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