Question

Multiply 6√3 • 8√14 • √10 • √2

Answer 1

Answer:

96 sqrt(210)

Step-by-step 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)