Question

Please solve g & h (adding & subtracting radicals)

Answer 1

g. 14√2

h. 50x√(5x)

Explanation:

Find the perfect squares under the radical and factor out their square root. Combine like terms in the usual way.

g.

`2√(50)+2√(8)=2√(5^2\cdot 2)+2√(2^2\cdot 2)=2√(2)(5+2)\\\\=14√(2)`

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h.

`11√(245x^3)-9√(45x^3)=11√(7^2\cdot 5x^2\cdot x)-9√(3^2\cdot 5x^2\cdot x)\\\\=77x√(5x)-27x√(5x)=50x√(5x)`