Let's simplify each expression step by step:
√12 √18 √216= √(12 18 216) (Using the product property of square roots)= √(3888)= √(36 108)= 6√108= 6 √(36 3)= 6 6√3= 36√3
√75 √28 / √21= √(75 28) / √21 (Using the product property of square roots)= √2100 / √21= √(100 * 21) / √21= 10√21 / √21= 10
√(4.3)^2= √(4.3 * 4.3)= √(18.49)= 4.3
0.1√(-93)^2= 0.1√93= 0.1√(3 * 31)= 0.1√(3)√(31)= 0.1√93
Therefore, the simplified expressions are:
Let's simplify each expression step by step:
√12 √18 √216
= √(12 18 216) (Using the product property of square roots)
= √(3888)
= √(36 108)
= 6√108
= 6 √(36 3)
= 6 6√3
= 36√3
√75 √28 / √21
= √(75 28) / √21 (Using the product property of square roots)
= √2100 / √21
= √(100 * 21) / √21
= 10√21 / √21
= 10
√(4.3)^2
= √(4.3 * 4.3)
= √(18.49)
= 4.3
0.1√(-93)^2
= 0.1√93
= 0.1√(3 * 31)
= 0.1√(3)√(31)
= 0.1√93
Therefore, the simplified expressions are:
36√3104.30.1√93