What is (sqrt(27)+sqrt(3))^2 ?

The solution to (sqrt(27)+sqrt(3))^2 is 48

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simplify (sqrt(27)+sqrt(3))^2

simplify

(27 + 3)^{2}

48

Solution steps

(27 + 3)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(27 + 3)^{2} = (27)^{2} + 2273 + (3)^{2}

= (27)^{2} + 2273 + (3)^{2}

(27)^{2} + 2273 + (3)^{2} = 48

= 48

\frac{a + b}{a ^{- 1} + b ^{- 1}}

\frac{3}{28}

(7 + 5 i)^{2}

62 + 58 + 232

\frac{53}{8}