What is (sqrt(n^3+4))/(sqrt((n+1)^3+4)) ?

The solution to (sqrt(n^3+4))/(sqrt((n+1)^3+4)) is (sqrt(n^3+4))/(sqrt(n^3+3n^2+3n+5))

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simplify (sqrt(n^3+4))/(sqrt((n+1)^3+4))

simplify

\frac{n ^{3} + 4}{( n + 1 ) ^{3} + 4}

\frac{n ^{3} + 4}{n ^{3} + 3 n ^{2} + 3 n + 5}

Solution steps

\frac{n ^{3} + 4}{( n + 1 ) ^{3} + 4}

Expand

(n + 1)^{3} : n^{3} + 3 n^{2} + 3 n + 1

= \frac{n ^{3} + 4}{n ^{3} + 3 n ^{2} + 3 n + 1 + 4}

Add the numbers:

1 + 4 = 5

= \frac{n ^{3} + 4}{n ^{3} + 3 n ^{2} + 3 n + 5}

3.35 \cdot 1 0^{- 5} \cdot 9.8

3.9 \cdot 1 0^{- 2}

22 16 - (22)^{2}

\frac{5 ^{3}}{3 !} e^{- 5}

What is (sqrt(n^3+4))/(sqrt((n+1)^3+4)) ?
The solution to (sqrt(n^3+4))/(sqrt((n+1)^3+4)) is (sqrt(n^3+4))/(sqrt(n^3+3n^2+3n+5))