What is expand sqr(4+(2tan^2(x))) ?

The solution to expand sqr(4+(2tan^2(x))) is 4sqr+2sqrtan^2(x)

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expand sqr(4+(2tan^2(x)))

expand

s q r (4 + (2 tan^{2} (x)))

4 s q r + 2 s q r tan^{2} (x)

Solution steps

s q r (4 + (2 tan^{2} (x)))

Simplify

4 + (2 tan^{2} (x)) : 4 + 2 tan^{2} (x)

= s q r (4 + 2 tan^{2} (x))

Apply the distributive law:

a (b + c) = ab + a c

s q r (4 + 2 tan^{2} (x)) = s q r \cdot 4 + s q r \cdot 2 tan^{2} (x)

= s q r \cdot 4 + s q r \cdot 2 tan^{2} (x)

= 4 s q r + 2 s q r tan^{2} (x)

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What is expand sqr(4+(2tan^2(x))) ?
The solution to expand sqr(4+(2tan^2(x))) is 4sqr+2sqrtan^2(x)