20:[["$","title","0",{"children":"BMSAT Kozhikode - If a = sqrt(11) - sqrt(10), b = sqrt(12) - sqrt(11), and c = sqrt(13) - sqrt(12), then which of the following is true? | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Rationalising each expression by multiplying and dividing by the conjugate: a = sqrt(11) - sqrt(10) = (sqrt(11) - sqrt(10))(sqrt(11) + sqrt(10))sqrt(11) + sqrt(10) = 11 - 10sqrt(11) + sqrt(10) = 1sqrt(11) + sqrt(10) Similarly, b = 1sqrt(12) + sqrt(11) c = 1sqrt(13) + sqrt(12)

Since sqrt(10) < sqrt(11) < sqrt(12) < sqrt(13), the denominators are in increasing order: sqrt(11) + sqrt(10) < sqrt(12) + sqrt(11) < sqrt(13) + sqrt(12) All three fractions have the same numerator = 1, so a lar>=r denominator gives a smal<=r value. 1sqrt(11) + sqrt(10) > 1sqrt(12) + sqrt(11) > 1sqrt(13) + sqrt(12) a > b > c"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"BMSAT Kozhikode,QA,Algebra,Indices"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"name":"mobile-web-app-capable","content":"yes"}],["$","meta","8",{"name":"apple-mobile-web-app-title","content":"AfterBoards"}],["$","meta","9",{"name":"apple-mobile-web-app-status-bar-style","content":"default"}],["$","meta","10",{"property":"og:title","content":"BMSAT Kozhikode - If a = sqrt(11) - sqrt(10), b = sqrt(12) - sqrt(11), and c = sqrt(13) - sqrt(12), then which of the following is true? | PYQs + Solutions"}],["$","meta","11",{"property":"og:description","content":"undefined Rationalising each expression by multiplying and dividing by the conjugate: a = sqrt(11) - sqrt(10) = (sqrt(11) - sqrt(10))(sqrt(11) + sqrt(10))sqrt(11) + sqrt(10) = 11 - 10sqrt(11) + sqrt(10) = 1sqrt(11) + sqrt(10) Similarly, b = 1sqrt(12) + sqrt(11) c = 1sqrt(13) + sqrt(12)

Since sqrt(10) < sqrt(11) < sqrt(12) < sqrt(13), the denominators are in increasing order: sqrt(11) + sqrt(10) < sqrt(12) + sqrt(11) < sqrt(13) + sqrt(12) All three fractions have the same numerator = 1, so a lar>=r denominator gives a smal<=r value. 1sqrt(11) + sqrt(10) > 1sqrt(12) + sqrt(11) > 1sqrt(13) + sqrt(12) a > b > c"}],["$","meta","12",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/iimk-bmsat/2026/QA/17"}],["$","meta","13",{"property":"og:site_name","content":"AfterBoards | BMSAT Kozhikode Preparation"}],["$","meta","14",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","15",{"property":"og:type","content":"website"}],["$","meta","16",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","17",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","18",{"name":"twitter:title","content":"BMSAT Kozhikode - If a = sqrt(11) - sqrt(10), b = sqrt(12) - sqrt(11), and c = sqrt(13) - sqrt(12), then which of the following is true? | PYQs + Solutions"}],["$","meta","19",{"name":"twitter:description","content":"undefined Rationalising each expression by multiplying and dividing by the conjugate: a = sqrt(11) - sqrt(10) = (sqrt(11) - sqrt(10))(sqrt(11) + sqrt(10))sqrt(11) + sqrt(10) = 11 - 10sqrt(11) + sqrt(10) = 1sqrt(11) + sqrt(10) Similarly, b = 1sqrt(12) + sqrt(11) c = 1sqrt(13) + sqrt(12)

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