How do you simplify $(sqrtc + d)(3 +sqrt5)$ ?

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Answer 1 · 2017-04-08T04:19:57

$(sqrtc+d)(3+sqrt5)=color(blue)(3sqrtc+sqrt5sqrtc+3d+dsqrt5$

Simplify:

$(sqrtc+d)(3+sqrt5)$

Use the FOIL method, which gives the order in which the terms of two binomials are multiplied: First, Outer, Inner, Last

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$(sqrtc+d)(3+sqrt5)=(sqrtc*3)+(sqrtc*sqrt5)+(d*3)+(d*sqrt5)$

$(sqrtc+d)(3+sqrt5)=3sqrtc+sqrt5sqrtc+3d+dsqrt5$

How do you simplify (sqrtc + d)(3 +sqrt5)(sqrtc + d)(3 +sqrt5)?