The square root of [(1¾)4 − (2⅓)4] ÷ [(1¾)2 − (2⅓)2] is equal to :[(1¾)4 − (2⅓)4] ÷ [(1¾)2 − (2⅓)2] का वर्गमूल बराबर है :
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Correct answer: A. 211/12
Explanation
Let a = 1¾ = 7/4 and b = 2⅓ = 7/3. Since (a⁴ − b⁴)/(a² − b²) = a² + b², the expression equals 49/16 + 49/9 = 49 × 25/144. Its square root = (7 × 5)/12 = 35/12 = 211/12.माना a = 1¾ = 7/4 तथा b = 2⅓ = 7/3। चूँकि (a⁴ − b⁴)/(a² − b²) = a² + b², अतः व्यंजक = 49/16 + 49/9 = 49 × 25/144। इसका वर्गमूल = (7 × 5)/12 = 35/12 = 211/12।More Mathematics & Numerical Ability questions
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