√3+√2/√3-√2+√3-√2/√3+√2
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Soln: Here, just we have to substitute the values of 'a' & 'b'. That's it! Come, let us solve.
= a²+b²
= [(√3+√2)/(√3-√2)]² + [(√3-√2)/(√3+√2)]²
= (√3+√2)²/(√3-√2)² + (√3-√2)²/(√3+√2)² [b/z, (a/b)² = a²/b²]
= [(√3)²+2(√3)(√2)+(√2)²]/[(√3)²-2(√3)(√2)+(√2)²] + [(√3)²-2(√3)(√2)+(√2)²]/[(√3)²+2(√3)(√2)+(√2)²] [b/z, (a+b)²=(a²+2ab+b²) & (a-b)²=(a²-2ab+b²)]
= (3+2√6+2)/(3–2√6+2)+(3–2√6+2)/(3+2√6+2)
= (5+2√6)/(5–2√6)+(5–2√6)/(5+2√6)
Now, take LCM,
= [(5+2√6)(5+2√6)+(5–2√6)(5–2√6)]/(5–2√6)(5+2√6)
= [(5+2√6)²+(5–2√6)²]/(5)²-(2√6)²
= {[(5)²+2(5)(2√6)+(2√6)²]+[(5)²-2(5)(2√6)+(2√6)²]}/25–4(√6)(√6)
= [(25+20√6+24)+(25–20√6+24)]/25–24
= (49+20√6+49–20√6)/ 1
= 98/1
= 98
Hence, a²+b²=98
hope it help s u mark as brainliest plz
= a²+b²
= [(√3+√2)/(√3-√2)]² + [(√3-√2)/(√3+√2)]²
= (√3+√2)²/(√3-√2)² + (√3-√2)²/(√3+√2)² [b/z, (a/b)² = a²/b²]
= [(√3)²+2(√3)(√2)+(√2)²]/[(√3)²-2(√3)(√2)+(√2)²] + [(√3)²-2(√3)(√2)+(√2)²]/[(√3)²+2(√3)(√2)+(√2)²] [b/z, (a+b)²=(a²+2ab+b²) & (a-b)²=(a²-2ab+b²)]
= (3+2√6+2)/(3–2√6+2)+(3–2√6+2)/(3+2√6+2)
= (5+2√6)/(5–2√6)+(5–2√6)/(5+2√6)
Now, take LCM,
= [(5+2√6)(5+2√6)+(5–2√6)(5–2√6)]/(5–2√6)(5+2√6)
= [(5+2√6)²+(5–2√6)²]/(5)²-(2√6)²
= {[(5)²+2(5)(2√6)+(2√6)²]+[(5)²-2(5)(2√6)+(2√6)²]}/25–4(√6)(√6)
= [(25+20√6+24)+(25–20√6+24)]/25–24
= (49+20√6+49–20√6)/ 1
= 98/1
= 98
Hence, a²+b²=98
hope it help s u mark as brainliest plz
Anonymous:
correct aa na
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