Expand (√3 + √2)*4
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Step-by-step explanation:
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(3+2)4
⇒4C0(3)4+4C1(3)3(2)+4C2(3)2(2)2
+4C3(3)(2)3+4C4(2)4
⇒1(3)2+4.(33)(2)+24×3(3)(−2)+4((3)(22)+1(2)2
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Answer:
(√3 + √2)⁴ = 49 + 20√6
Step-by-step explanation:
(√3 + √2)⁴ = [(√3 + √2)²]²
= (3 + 2√6 + 2)² {(a + b)² = a² + 2ab + b²}
= (5 + 2√6)²
= 25 + 20√6 + 24 {(a + b)² = a² + 2ab + b²}
= 49 + 20√6
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