What is (3+sqrt(5))(3+sqrt(5)) ?

The solution to (3+sqrt(5))(3+sqrt(5)) is 14+6sqrt(5)

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simplify (3+sqrt(5))(3+sqrt(5))

simplify

(3 + 5) (3 + 5)

14 + 65

Decimal Notation

27.41640 \dots

Solution steps

(3 + 5) (3 + 5)

Apply exponent rule:

aa = a^{2}

(3 + 5) (3 + 5) = (3 + 5)^{2}

= (3 + 5)^{2}

Apply Perfect Square Formula:

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

(3 + 5)^{2} = 3^{2} + 2 \cdot 35 + (5)^{2}

= 3^{2} + 2 \cdot 35 + (5)^{2}

3^{2} + 2 \cdot 35 + (5)^{2} = 14 + 65

= 14 + 65

4^{n} \cdot (- \frac{1}{4})^{n}

\frac{30}{1 0 ^{6}} \cdot e^{- 2}

(58)^{2}

(\frac{3}{4})^{- 12} \cdot (\frac{3}{4})^{25}

e^{- \frac{3 π}{2}}

What is (3+sqrt(5))(3+sqrt(5)) ?
The solution to (3+sqrt(5))(3+sqrt(5)) is 14+6sqrt(5)