What is (2+sqrt(5))^4+1/((2+sqrt(5))^4) ?

The solution to (2+sqrt(5))^4+1/((2+sqrt(5))^4) is (51842+23184sqrt(5))/((2+sqrt(5))^4)

Popular >

simplify (2+sqrt(5))^4+1/((2+sqrt(5))^4)

simplify

(2 + 5)^{4} + \frac{1}{( 2 + 5 ) ^{4}}

\frac{51842 + 23184 5}{( 2 + 5 ) ^{4}}

Decimal Notation

322

Solution steps

(2 + 5)^{4} + \frac{1}{( 2 + 5 ) ^{4}}

Convert

(2 + 5)^{4}

to fraction

: \frac{( 2 + 5 ) ^{8}}{( 2 + 5 ) ^{4}}

= \frac{( 2 + 5 ) ^{8}}{( 2 + 5 ) ^{4}} + \frac{1}{( 2 + 5 ) ^{4}}

\frac{( 2 + 5 ) ^{8}}{( 2 + 5 ) ^{4}} + \frac{1}{( 2 + 5 ) ^{4}} = \frac{( 2 + 5 ) ^{8} + 1}{( 2 + 5 ) ^{4}}

= \frac{( 2 + 5 ) ^{8} + 1}{( 2 + 5 ) ^{4}}

Simplify

(2 + 5)^{8} + 1 : 51842 + 231845

= \frac{51842 + 23184 5}{( 2 + 5 ) ^{4}}

\frac{4}{( s ^{2} + 4 ) ^{2}}

\frac{1}{( 4 k + 1 ) ( 4 k + 5 )}

(- 3 + 5)^{8}

(5 + 7) (7 + 5 - 2)

(a + 2) (5 a + b)

What is (2+sqrt(5))^4+1/((2+sqrt(5))^4) ?
The solution to (2+sqrt(5))^4+1/((2+sqrt(5))^4) is (51842+23184sqrt(5))/((2+sqrt(5))^4)