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MATHEMATICS [1 Mark Question Answer]

Irrational Numbers · ICSE STD 9 (ICSE - English Medium). 9 questions.

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[1 Mark Question Answer]

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9 questions · timed · auto-graded

Question 11 Mark
State if the following is a surd$. $Give reasons$.$$\sqrt[3]{-27}$
Answer
$\sqrt[3]{-27}=-3$$,$ which is a rational number.
Hence , $\sqrt[3]{-27}$ is not a surd.
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Question 21 Mark
State if the following is a surd. Give reasons.$\sqrt{2+\sqrt{3}}$
Answer
$\sqrt{2+\sqrt{3}}$ is an irrational number.
Hence, $\sqrt{2+\sqrt{3}}$ is a surd.
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Question 31 Mark
State if the following is a surd. Give reasons.$\sqrt[3]{50} \cdot \sqrt[3]{20}$
Answer
$\sqrt[3]{50} \cdot \sqrt[3]{20}$
$=\sqrt[3]{50 \times 20}$
$=\sqrt[3]{1000}$
$=10$, Which is a rational number.
Hence, $\sqrt[3]{50} \cdot \sqrt[3]{20}$ is not a surd.
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Question 41 Mark
State if the following is a surd. Give reasons.$\sqrt[3]{4}$
Answer
$\sqrt[3]{4}$ is an irrational number.
Hence$,$
$\sqrt[3]{4}$ is a surd.
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Question 51 Mark
State if the following is a surd. Give reasons.$\sqrt{150}$
Answer
$\sqrt{150}$
$=\sqrt{25 \times 6}$
$ =5 \sqrt{6}$, which is an irrational number.
Hence, $\sqrt{150}$ is a surd.
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Question 61 Mark
Convert the following fraction into a decimal $:\frac{2}{3}$
Answer
$\frac{2}{3} $
$ =0.6666 \ldots \ldots$
$=0.6$
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[1 Mark Question Answer] - MATHEMATICS STD 9 Questions - Vidyadip