What is 2pi(4sqrt(x))sqrt(1+4/x) ?

The solution to 2pi(4sqrt(x))sqrt(1+4/x) is 8pisqrt(x+4)

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simplify 2pi(4sqrt(x))sqrt(1+4/x)

simplify

2 π (4 x) 1 + \frac{4}{x}

8 π x + 4

Solution steps

2 π (4 x) 1 + \frac{4}{x}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x \frac{4}{x} + 1 = x (\frac{4}{x} + 1)

= 2 \cdot 4 π x (\frac{4}{x} + 1)

Simplify

x (1 + \frac{4}{x}) : x + 4

= 2 \cdot 4 π x + 4

Multiply the numbers:

2 \cdot 4 = 8

= 8 π x + 4

\frac{4 \cdot π \cdot 1204 \cdot 4.06}{0.723} \cdot 1 0^{- 7}

54 \pm 4 4^{2} - 4 (- 16) (5)

e^{- 2 x} \cdot 2 e^{2 x} cos (2 x) sec (2 x)

\frac{e ^{8 x}}{e ^{- 8 x}}

9.7 \cdot 1 0^{- 4}

What is 2pi(4sqrt(x))sqrt(1+4/x) ?
The solution to 2pi(4sqrt(x))sqrt(1+4/x) is 8pisqrt(x+4)