What is sqrt(1+(\sqrt{3)+sqrt(27))^2} ?

The solution to sqrt(1+(\sqrt{3)+sqrt(27))^2} is 7

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simplify sqrt(1+(\sqrt{3)+sqrt(27))^2}

simplify

1 + (3 + 27)^{2}

7

Solution steps

1 + (3 + 27)^{2}

1 + (3 + 27)^{2} = 49

= 49

Factor the number:

49 = 7^{2}

= 7^{2}

Apply radical rule:

a^{2} = a, a \geq 0

7^{2} = 7

= 7

(3 a + 2) (4 a^{2} - 2 a + 9)

4 a + 8

\frac{2}{6} + \frac{2}{6}

\frac{6.59}{e ^{\frac{0.698}{0.026}} - 1}

(3 + 3)^{2}

What is sqrt(1+(\sqrt{3)+sqrt(27))^2} ?
The solution to sqrt(1+(\sqrt{3)+sqrt(27))^2} is 7