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

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

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

simplify

(3 + 1) (1 + 3)

4 + 23

Decimal Notation

7.46410 \dots

Solution steps

(3 + 1) (1 + 3)

Apply the commutative law:

1 + 3 = 3 + 1

= (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

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

(10 - 3) (10 - 3)

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

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