What is (sqrt(6)-sqrt(3))^2 ?

The solution to (sqrt(6)-sqrt(3))^2 is 9-6sqrt(2)

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simplify (sqrt(6)-sqrt(3))^2

simplify

(6 - 3)^{2}

9 - 62

Decimal Notation

0.51471 \dots

Solution steps

(6 - 3)^{2}

Apply Perfect Square Formula:

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

(6 - 3)^{2} = (6)^{2} - 263 + (3)^{2}

= (6)^{2} - 263 + (3)^{2}

(6)^{2} - 263 + (3)^{2} = 9 - 62

= 9 - 62

\frac{12 x ^{2} - x + 5}{22 x} + \frac{6 + x - x ^{2}}{22 x}

1 \cdot 2 \cdot 3 \cdot 4 \cdot 5

25 y^{2} - 10 y + 1

\frac{5 x ^{4} - 3 x ^{3} + 2 x ^{2} - 7 x + 3}{x - 1}

\frac{y ^{5}}{y ^{5}}