What is sqrt((x^3+2)^2-3) ?

The solution to sqrt((x^3+2)^2-3) is sqrt(x^6+4x^3+1)

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simplify sqrt((x^3+2)^2-3)

simplify

(x^{3} + 2)^{2} - 3

x^{6} + 4 x^{3} + 1

Solution steps

(x^{3} + 2)^{2} - 3

Expand

(x^{3} + 2)^{2} : x^{6} + 4 x^{3} + 4

= x^{6} + 4 x^{3} + 4 - 3

Subtract the numbers:

4 - 3 = 1

= x^{6} + 4 x^{3} + 1

- 1 - 12

- 11 + 3

- 13 - 4

- a^{5} - a^{3}

- 16 + 5

What is sqrt((x^3+2)^2-3) ?
The solution to sqrt((x^3+2)^2-3) is sqrt(x^6+4x^3+1)