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

The solution to (3sqrt(3)-2sqrt(2))^2 is 35-12sqrt(6)

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

simplify

(33 - 22)^{2}

35 - 126

Decimal Notation

5.60612 \dots

Solution steps

(33 - 22)^{2}

Apply Perfect Square Formula:

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

(33 - 22)^{2} = (33)^{2} - 2 \cdot 33 \cdot 22 + (22)^{2}

= (33)^{2} - 2 \cdot 33 \cdot 22 + (22)^{2}

(33)^{2} - 2 \cdot 33 \cdot 22 + (22)^{2} = 35 - 126

= 35 - 126

2 x^{2} - 1 x - 1

6 \cdot \frac{5 π}{6}

2 x^{3} + 5 x^{2} - 7 x

\frac{216}{27}

\frac{7}{4} \div \frac{5}{2}

What is (3sqrt(3)-2sqrt(2))^2 ?
The solution to (3sqrt(3)-2sqrt(2))^2 is 35-12sqrt(6)