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Multiply 6√3 • 8√14 • √10 • √2

1 Answer

1 vote

Answer:

96 sqrt(210)

Explanation:

6√3 • 8√14 • √10 • √2

We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots

6*8 = 48

3*14*10*2 = 840

6√3 • 8√14 • √10 • √2

48 sqrt(840)

48 sqrt( 4*210)

sqrt(a*b) = sqrt(a) sqrt(b)

48 sqrt(4) sqrt(210)

48 *2 sqrt(210)

96 sqrt(210)

210 is 3*7 *5*2 which are all primes, so we cannot simplify the sqrt (210)

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