What is (7-3sqrt(3))^2 ?

The solution to (7-3sqrt(3))^2 is 76-42sqrt(3)

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simplify (7-3sqrt(3))^2

simplify

(7 - 33)^{2}

76 - 423

Decimal Notation

3.25386 \dots

Solution steps

(7 - 33)^{2}

Apply Perfect Square Formula:

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

(7 - 33)^{2} = 7^{2} - 2 \cdot 7 \cdot 33 + (33)^{2}

= 7^{2} - 2 \cdot 7 \cdot 33 + (33)^{2}

7^{2} - 2 \cdot 7 \cdot 33 + (33)^{2} = 76 - 423

= 76 - 423

\frac{x + y}{x + y}

\frac{x ^{3}}{x ^{2} y ^{- 8} y ^{6}}

(53) 2

\frac{48}{14}

20 \times 1 0^{- 3}