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

The solution to sqrt(4-x^2)sqrt(1+(x^2)/(4-x^2)) is 2

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simplify sqrt(4-x^2)sqrt(1+(x^2)/(4-x^2))

simplify

4 - x^{2} 1 + \frac{x ^{2}}{4 - x ^{2}}

2

Solution steps

4 - x^{2} 1 + \frac{x ^{2}}{4 - x ^{2}}

Apply radical rule:

a b = a \cdot b

- x^{2} + 4 \frac{x ^{2}}{- x ^{2} + 4} + 1 = (- x^{2} + 4) (\frac{x ^{2}}{- x ^{2} + 4} + 1)

= (- x^{2} + 4) (\frac{x ^{2}}{- x ^{2} + 4} + 1)

(4 - x^{2}) (1 + \frac{x ^{2}}{4 - x ^{2}}) = 4

= 4

Factor the number:

4 = 2^{2}

= 2^{2}

Apply radical rule:

2^{2} = 2

= 2

e^{- (1.1)^{2}}

(\frac{50}{6.425 \cdot 1 0 ^{- 3}}) \cdot 1 0^{- 6}

(1 - 3 \cdot 0.75) \cdot e^{- 3 \cdot 0.75}

\frac{x ^{4}}{y ^{4}}

What is sqrt(4-x^2)sqrt(1+(x^2)/(4-x^2)) ?
The solution to sqrt(4-x^2)sqrt(1+(x^2)/(4-x^2)) is 2