Algebraic Function MCQ Quiz in বাংলা - Objective Question with Answer for Algebraic Function - বিনামূল্যে ডাউনলোড করুন [PDF]
Last updated on Mar 27, 2025
Latest Algebraic Function MCQ Objective Questions
Algebraic Function Question 1:
\(\sqrt{3 + 2 \sqrt{2}}\) - \(\sqrt{3 - 2 \sqrt{2}}\) সমান:
Answer (Detailed Solution Below)
Algebraic Function Question 1 Detailed Solution
প্রদত্ত:
\(X=\sqrt{3 + 2 \sqrt{2}}-\sqrt{3 - 2 \sqrt{2}}\)
\(=\sqrt {{(2 + 1) + 2} \sqrt 2}-\sqrt {{(2 + 1) - 2} \sqrt 2}\)
\(=\sqrt {{{{\left( {\sqrt 2 } \right)}^2} + {1^2}} + 2\sqrt 2}-\sqrt {{{{\left( {\sqrt 2 } \right)}^2} + {1^2}} - 2\sqrt 2}\)
\(=\sqrt {{{\left( {\sqrt 2 + 1} \right)}^2}}-\sqrt {{{\left( {\sqrt 2 - 1} \right)}^2}}\)
= √2 + 1 – (√2 – 1)
= 2
Top Algebraic Function MCQ Objective Questions
\(\sqrt{3 + 2 \sqrt{2}}\) - \(\sqrt{3 - 2 \sqrt{2}}\) সমান:
Answer (Detailed Solution Below)
Algebraic Function Question 2 Detailed Solution
Download Solution PDFপ্রদত্ত:
\(X=\sqrt{3 + 2 \sqrt{2}}-\sqrt{3 - 2 \sqrt{2}}\)
\(=\sqrt {{(2 + 1) + 2} \sqrt 2}-\sqrt {{(2 + 1) - 2} \sqrt 2}\)
\(=\sqrt {{{{\left( {\sqrt 2 } \right)}^2} + {1^2}} + 2\sqrt 2}-\sqrt {{{{\left( {\sqrt 2 } \right)}^2} + {1^2}} - 2\sqrt 2}\)
\(=\sqrt {{{\left( {\sqrt 2 + 1} \right)}^2}}-\sqrt {{{\left( {\sqrt 2 - 1} \right)}^2}}\)
= √2 + 1 – (√2 – 1)
= 2
Algebraic Function Question 3:
\(\sqrt{3 + 2 \sqrt{2}}\) - \(\sqrt{3 - 2 \sqrt{2}}\) সমান:
Answer (Detailed Solution Below)
Algebraic Function Question 3 Detailed Solution
প্রদত্ত:
\(X=\sqrt{3 + 2 \sqrt{2}}-\sqrt{3 - 2 \sqrt{2}}\)
\(=\sqrt {{(2 + 1) + 2} \sqrt 2}-\sqrt {{(2 + 1) - 2} \sqrt 2}\)
\(=\sqrt {{{{\left( {\sqrt 2 } \right)}^2} + {1^2}} + 2\sqrt 2}-\sqrt {{{{\left( {\sqrt 2 } \right)}^2} + {1^2}} - 2\sqrt 2}\)
\(=\sqrt {{{\left( {\sqrt 2 + 1} \right)}^2}}-\sqrt {{{\left( {\sqrt 2 - 1} \right)}^2}}\)
= √2 + 1 – (√2 – 1)
= 2