plzzzzzzzzzzzzzzzzz solve
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Let’s find x⁴x4 first.
(3+√2)⁴=3⁴+4(3³)(√2)+6(3²)(√2²)+4(3)(√2³)+√2⁴
81+108√2+108+24√2+4
193+132√2
Therefore
x⁴+1/x⁴=193+132√2+1/193+132√2
Now, I’m guessing you want the denominator rationalized and/or over one common denominator. I will do both of them.
First, rationalizing the denominator
1/x⁴=1/193+132√2
=193−132√2/2401
That means that
x⁴+1/x⁴=193+132√2+193−132√2/2401
Putting it all over one denominator:
x⁴+1/x⁴= 463586+316800√2/2401
(3+√2)⁴=3⁴+4(3³)(√2)+6(3²)(√2²)+4(3)(√2³)+√2⁴
81+108√2+108+24√2+4
193+132√2
Therefore
x⁴+1/x⁴=193+132√2+1/193+132√2
Now, I’m guessing you want the denominator rationalized and/or over one common denominator. I will do both of them.
First, rationalizing the denominator
1/x⁴=1/193+132√2
=193−132√2/2401
That means that
x⁴+1/x⁴=193+132√2+193−132√2/2401
Putting it all over one denominator:
x⁴+1/x⁴= 463586+316800√2/2401
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this is your answer dude
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plz mark the brainliest
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please mark the brainliest
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