Multiplying and Dividing Surds

Using the quotient property of radicals, sqrt(a) / sqrt(b) = sqrt(a/b). Thus, sqrt(18) / sqrt(9) = sqrt(18/9) = sqrt(2).

Using the quotient property of radicals, sqrt(30) / sqrt(5) = sqrt(30/5) = sqrt(6).

Using the quotient property of radicals, sqrt(20) / sqrt(5) = sqrt(20/5) = sqrt(4). Since sqrt(4) = 2, the answer is 2.

Using the quotient property of radicals, sqrt(12) / sqrt(2) = sqrt(12/2) = sqrt(6).

The square root of 100 is 10 and the square root of 4 is 2. Dividing these results, 10 / 2 = 5.

Using the quotient property of radicals, sqrt(27) / sqrt(3) = sqrt(27/3) = sqrt(9). Since sqrt(9) = 3, the answer is 3.

Using the quotient property of radicals, sqrt(8) / sqrt(2) = sqrt(8/2) = sqrt(4). Since sqrt(4) = 2, the answer is 2.

Using the product property of radicals, sqrt(a) * sqrt(b) = sqrt(a*b). Thus, sqrt(12) * sqrt(11) = sqrt(132).

Using the product property of radicals, sqrt(6) * sqrt(8) = sqrt(48).

Using the product property of radicals, sqrt(8) * sqrt(10) = sqrt(80).

Using the product property of radicals, sqrt(7) * sqrt(5) = sqrt(35).

Using the product property of radicals, sqrt(3) * sqrt(5) = sqrt(15).

Using the product property of radicals, sqrt(2) * sqrt(5) = sqrt(10).

The square root of 16 is 4, and the square root of 4 is 2. Multiplying these results, 4 * 2 = 8.

Using the product property of radicals, sqrt(3) * sqrt(12) = sqrt(36). Since sqrt(36) = 6, the answer is 6.

Using the product property of radicals, sqrt(5) * sqrt(20) = sqrt(100). Since sqrt(100) = 10, the answer is 10.

Using the product property of radicals, sqrt(2) * sqrt(8) = sqrt(16). Since sqrt(16) = 4, the answer is 4.