Question

Please egive correct answer only and fast​

Answer 1

Step-by-step explanation:

1) x = 3 + 2√2 (Given) 1/x = 1/3 + 2√2 Rationalization of 1/x 1*3 - 2√2 / 3 + 2√2 * 3 - 2√2 = 3 - 2√2 So, now we know that x = 3 + 2√2 1/x = 3 - 2√2 x + 1/x = 3 + 2√2 + 3 - 2√2 = 3 + 3 =6

2) Given,

x=3+2√2

Inverse equatio,

1/x=1/3+2√2

=>1/x=(3–2√2){(3+2√2)(3–2√2)}

=>1/x=(3–2√2)/{(3)²-(2√2)²}

=>1/x=(3–2√2)/(9–8)

=>1/x=(3–2√2)/1

=>1/x=3–2√2

=>x+1/x=3+2√2+3–2√2

=>x+1/x=6

=>x²+1/x²=(x+1/x)² -2.x.1/x

=>x²+1/x² =(6)²-2

=>x²+1/x²=36–2

=>x²+1/x²=34

Ans.

3) x=3+2–√

x2=9+62–√+2=11+62–√

x4=121+1322–√+72=193+1322–√

1x4=1193+1322–√=1193+1322–√×193−1322–√193−1322–√=193−1322–√37249−34848=193−1322–√2401

x4+1x4=193+1322–√+193−1322–√2401=463,393+316,9322–√2401+193−1322–√2401=463,586−316,8002−−√2401

HOPE IT HELP..