What is (2sqrt(5)-3)^2 ?

The solution to (2sqrt(5)-3)^2 is 29-12sqrt(5)

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simplify (2sqrt(5)-3)^2

simplify

(25 - 3)^{2}

29 - 125

Decimal Notation

2.16718 \dots

Solution steps

(25 - 3)^{2}

Apply Perfect Square Formula:

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

(25 - 3)^{2} = (25)^{2} - 2 \cdot 25 \cdot 3 + 3^{2}

= (25)^{2} - 2 \cdot 25 \cdot 3 + 3^{2}

(25)^{2} - 2 \cdot 25 \cdot 3 + 3^{2} = 29 - 125

= 29 - 125

32 + 58 - 32

(x^{\frac{3}{5}})^{5}

x (a + 2) - y (a + 2)

(- 3 x^{4} y^{2} z)^{5}

a^{0} + (n - 1) r