What is the simplified form of the following expression?
2sqrt18+3sqrt2+sqrt162
To simplify the expression, we need to simplify the square roots:
√18 = √(9*2) = √9 * √2 = 3√2
√162 = √(81*2) = √81 * √2 = 9√2
Now we can substitute these simplified square roots into the expression:
2√18 + 3√2 + √162 = 2(3√2) + 3√2 + 9√2 = 6√2 + 3√2 + 9√2 = 18√2
Therefore, the simplified form of the expression 2√18 + 3√2 + √162 is 18√2.