Question

if x is equal to root 3 + root 2 then find the value of x power 4 + 1 by x power 4​

Answer 1

Answer:

X power 4+1 is rood 3power 4+1+root ²

and X power 4 is root3 + root 2 power 4

Answer 2

$\huge\pink{\mathfrak{Answer}}$

$x = \sqrt{3} + \sqrt{2} \: \: then \: \: {x}^{4} + \frac{1}{ {x}^{4} } \\ \\ = > {( \sqrt{3} + \sqrt{2} )}^{4} + { \frac{1}{( \sqrt{3} + \sqrt{2} )}}^{4} \\ \\ = > ( { \sqrt{3} + \sqrt{2} )} ^{4} + ( { \sqrt{3} + \sqrt{2}) }^{ - 4} \\ \\ = > {( { \sqrt{3} + \sqrt{2}) }^{2}}^{2} + {( { \sqrt{3} + \sqrt{2}) }^{ - 2}}^{2} \\ \\ = > {( \sqrt{3}) }^{2} - {( \sqrt{2}) }^{2} + {( \sqrt{3}) }^{2} - {( \sqrt{2}) }^{2} \\ \\ = > 3 - 2 + 3 - 2 \\ \\ = > 6 - 4 \\ \\ = > 2$

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