सराव प्रश्नसंच -2

1) \[\sqrt[9]{4},\sqrt[6]{5},\sqrt[3]{3},\]उतरत्‍या क्रमाने मांडा?

1. \[\sqrt[3]{3}, \sqrt[6]{5},\sqrt[9]{4},\]
2. \[\sqrt[9]{4},\sqrt[6]{5},\sqrt[3]{3},\]
3. \[\sqrt[6]{5},\sqrt[9]{4},\sqrt[3]{3},\]
4. \[\sqrt[3]{3}, \sqrt[9]{4},\sqrt[6]{5},\]

Answer: \[\sqrt[3]{3}, \sqrt[6]{5},\sqrt[9]{4},\]

Explanation: #

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2) \[\frac{7}{5}\sqrt{75}+\frac{9}{7}\sqrt{147}-\frac{5}{8}\sqrt{192}\]

1. \[11\sqrt{2}\]
2. \[\sqrt[11]{4}\]
3. \[\sqrt[3]{15}\]
4. \[11\sqrt[]{3}\]

Answer: \[11\sqrt[]{3}\]

Explanation: #

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3) \[\sqrt{486}-5\sqrt{6}+\sqrt{294}=?\]

1. \[\sqrt[11]{3}\]
2. \[\sqrt[11]{6}\]
3. \[\sqrt[12]{3}\]
4. \[\sqrt[15]{2}\]

Answer: \[\sqrt[11]{6}\]

Explanation: #

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4) \[\frac{7}{2}\sqrt[3]{40}+\frac{3}{5}\sqrt[3]{625}+4^{3}\sqrt[]{320}\]

1. \[\sqrt[6]{5}\]
2. \[\sqrt[6]{15}\]
3. \[6\sqrt[3]{5}\]
4. यापैकी नाही

Answer: \[6\sqrt[3]{5}\]

Explanation: #

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5) \[\frac{6^{\frac{2}{3} }\times\sqrt[3]{6^{7}}}{\sqrt[3]{6^{6}}}=?\]

1. 6
2. 12
3. √6
4. √8

Answer: 6

Explanation: #

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6) \[\frac{5}{3}\sqrt[3]{108}+\frac{9}{5}\sqrt[3]{500}-8\sqrt[3]{32}=?\]

1. -2∛4
2. 2∛4
3. ∛4
4. यापैकी नाही

Answer: -2∛4

Explanation: #

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7) √2, ∛6, ∜5 चढत्‍या क्रमाने मांडा?

1. ∜6, √2, ∜5
2. ∛6, ∜5, √2
3. √2, ∜6, ∛6
4. सर्व समान

Answer: ∛6, ∜5, √2

Explanation: #

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8) 5 ⁹¹ तर एकक काय?

1. 0
2. 3
3. 9
4. 5

Answer: 5

Explanation: #

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9) 36 ⁵² तर एकक काय?

1. 5
2. 2
3. 6
4. 9

Answer: 6

Explanation: #

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10) 8 ²⁹ तर एकक काय?

1. 8
2. 2
3. 7
4. 6

Answer: 8

Explanation: #

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