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How would I do:

sqrt32a^8b + sqrt50a^16b

Are the exponents 8b and 16b or 8 and 16?
I'll assume they are 8a and 16a
sqrt 32 = sqrt (16*2) = 4 sqrt 2
sqrt 50 = sqrt (25*2) = 5 sqrt 2
sqrt32 a^(3b) + sqrt50a^(2b)
= sqrt2*a^(8b)[4 + 5(a^8b)]
There are many ways to write it, but this is one of the shorter ones)

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