divide 2√65 / √5 provide an exact answer
To divide the expression 2√65 / √5, we should simplify the expression first.
Let's rationalize the denominator by multiplying both the numerator and denominator by √5:
(2√65 / √5) * (√5 / √5)
= (2√65 * √5) / ( √5 * √5)
= (2√(65 * 5)) / √(5 * 5)
= (2√325) / √25
= (2 * √325) / 5
So, the exact answer is (2 * √325) / 5.
To divide 2√65 by √5, we can simplify the expression by rationalizing the denominator.
Step 1: Simplify the expression.
2√65 = 2 * √(5 * 13) = 2√5 * √13
Step 2: Rationalize the denominator.
To rationalize the denominator, we need to multiply both the numerator and the denominator by √5.
√5 * √5 = 5
Therefore, our expression becomes:
(2√5 * √13) / √5
Step 3: Cancel out like terms.
√5 in the numerator and the denominator cancels out.
Our final answer is:
2√13
To divide the expression 2√65 by √5, we can simplify the radicals in the expression.
First, let's simplify √65. We can break down 65 into its prime factors: 65 = 5 * 13.
Now, let's simplify the radicand under the square root. Notice that √65 = √(5 * 13). Using the property of radicals, we can split the square root: √65 = √5 * √13.
So, the expression becomes 2√5 * √13 / √5. Now, we can simplify by canceling out the square root of 5 in the numerator and denominator.
Canceling out the square root of 5, we get 2 * √13. So, the exact answer to the expression 2√65 / √5 is 2√13.