How do you simplify $\sqrt{cos θ} (\sqrt{2 cos θ} + \sqrt{sin θ cos θ}$ $sqrtcostheta(sqrt(2costheta)+sqrt(sinthetacostheta)$ ?

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Answer 1 · 2016-11-11T15:57:01

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$= \sqrt{2 {cos}^{2} θ} + \sqrt{sin θ {cos}^{2} θ}$ $=sqrt(2cos^2theta) + sqrt(sinthetacos^2theta)$

$= cos θ \sqrt{2} + cos θ (\sqrt{sin θ})$ $=costhetasqrt(2) + costheta(sqrtsintheta)$

$= cos θ (\sqrt{2} + \sqrt{sin θ})$ $=costheta(sqrt(2) + sqrt(sin theta))$

Hopefully this helps!

How do you simplify √cosθ(√2cosθ+√sinθcosθsqrtcostheta(sqrt(2costheta)+sqrt(sinthetacostheta)?