What is (sqrt(3)+1)(sqrt(3)+1) ?

The solution to (sqrt(3)+1)(sqrt(3)+1) is 4+2sqrt(3)

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simplify (sqrt(3)+1)(sqrt(3)+1)

simplify

(3 + 1) (3 + 1)

4 + 23

Decimal Notation

7.46410 \dots

Solution steps

(3 + 1) (3 + 1)

Apply exponent rule:

aa = a^{2}

(3 + 1) (3 + 1) = (3 + 1)^{2}

= (3 + 1)^{2}

Apply Perfect Square Formula:

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

(3 + 1)^{2} = (3)^{2} + 23 \cdot 1 + 1^{2}

= (3)^{2} + 23 \cdot 1 + 1^{2}

(3)^{2} + 23 \cdot 1 + 1^{2} = 4 + 23

= 4 + 23

7.5 \cdot 1 0^{- 27}

2 3^{3}

(3 a^{2} b x) (7 b^{3} x^{5})

x \cdot e^{- x^{2}}

What is (sqrt(3)+1)(sqrt(3)+1) ?
The solution to (sqrt(3)+1)(sqrt(3)+1) is 4+2sqrt(3)