What is expand sqrt(33-12\sqrt{6)} ?

The solution to expand sqrt(33-12\sqrt{6)} is 2sqrt(6)-3

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expand sqrt(33-12\sqrt{6)}

expand

33 - 126

26 - 3

Decimal Notation

1.89897 \dots

Solution steps

33 - 126

= 24 - 126 + 9

= 4 \cdot 6 - 126 + 9

= (4)^{2} (6)^{2} - 126 + (9)^{2}

4 = 2

9 = 3

= 2^{2} (6)^{2} - 126 + 3^{2}

2 \cdot 26 \cdot 3 = 126

= (26)^{2} - 2 \cdot 26 \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

(26)^{2} - 2 \cdot 26 \cdot 3 + 3^{2} = (26 - 3)^{2}

= (26 - 3)^{2}

Apply radical rule:

(26 - 3)^{2} = 26 - 3

= 26 - 3

Δ x (x + Δ x^{2}) + x^{2}

l im x \Rightarrow 2 (2 (x + 2) 2 - x)

(- y^{'} (t) + 1)^{2}

4 f^{'} (- 1) (3 x + 4)

\frac{e ^{2 x} ( 2 x + 1 )}{( x + 1 ) ^{2}}

What is expand sqrt(33-12\sqrt{6)} ?
The solution to expand sqrt(33-12\sqrt{6)} is 2sqrt(6)-3