\(2 \sqrt[3]{15637-\sqrt{161-\sqrt{289}}} \) का मान ज्ञात कीजिए

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Question

This question was previously asked in

DSSSB TGT Natural Science (Female) Official Paper (Held On: 25 Sept, 2021 Shift 2)

Answer 1

दिया गया है:

दिया गया व्यंजक: \(2 \sqrt[3]{15637-\sqrt{161-\sqrt{289}}} ?\)

गणना:

प्रश्नानुसार,

⇒ x = \(2 \sqrt[3]{15637-\sqrt{161-\sqrt{289}}} \)

⇒ x = \(2 \sqrt[3]{15637-\sqrt{161-17}} \)

⇒ x = \(2 \sqrt[3]{15637-\sqrt{144}} \)

⇒ x = \(2 \sqrt[3]{15637- 12} \)

⇒ x = \(2 \sqrt[3]{15625} \)

⇒ x = \(2 \times 25\) = 50

इसलिए, अभीष्ट उत्तर "50" है।

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