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

The solution to (sqrt(3)+sqrt(5))*(sqrt(3)+sqrt(5)) is 8+2sqrt(15)

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

simplify

(3 + 5) \cdot (3 + 5)

8 + 215

Decimal Notation

15.74596 \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} + 235 + (5)^{2}

= (3)^{2} + 235 + (5)^{2}

(3)^{2} + 235 + (5)^{2} = 8 + 215

= 8 + 215

0.5 m \cdot 0.5 \cdot v^{2}

e^{- l n (\frac{1}{2})}

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

(2 k) (3 k^{2}) (2 k^{3})

3^{n} (x - 1)^{n}

What is (sqrt(3)+sqrt(5))*(sqrt(3)+sqrt(5)) ?
The solution to (sqrt(3)+sqrt(5))*(sqrt(3)+sqrt(5)) is 8+2sqrt(15)