What is factor 2x^2+2sqrt(2)x+1 ?

The solution to factor 2x^2+2sqrt(2)x+1 is (1.41421…x+1)^2

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factor 2x^2+2sqrt(2)x+1

factor

2 x^{2} + 22 x + 1

(1.41421 \dots x + 1)^{2}

Solution steps

2 x^{2} + 22 x + 1

Rewrite

2 x^{2} + 22 x + 1

(2 x)^{2} + 2 \cdot 1.41421 \dots x \cdot 1 + 1^{2}

= (2 x)^{2} + 2 \cdot 1.41421 \dots x \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

a = 1.41421 \dots x, b = 1

= (1.41421 \dots x + 1)^{2}

8 x^{2} - 4 x^{2}

(x^{2} y^{3}) 3

ab c + ab + c + 1

4 e^{4} ln (5) - e^{4}

x^{2} - 20 + 96

What is factor 2x^2+2sqrt(2)x+1 ?
The solution to factor 2x^2+2sqrt(2)x+1 is (1.41421…x+1)^2