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

The solution to (2sqrt(5)-sqrt(3))^2 is 23-4sqrt(15)

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

simplify

(25 - 3)^{2}

23 - 415

Decimal Notation

7.50806 \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 253 + (3)^{2}

= (25)^{2} - 2 \cdot 253 + (3)^{2}

(25)^{2} - 2 \cdot 253 + (3)^{2} = 23 - 415

= 23 - 415

\frac{x}{3} + \frac{1}{4}

2 x^{3} + x^{2} + 2 x + 1

\frac{4 x}{2 x + 3} + \frac{6}{2 x + 3}

(- 5) (- 5)

What is (2sqrt(5)-sqrt(3))^2 ?
The solution to (2sqrt(5)-sqrt(3))^2 is 23-4sqrt(15)