Divide 2√65 and √5
(2√65)/(√5) = 2√(65/5) = 2√13
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To divide 2√65 by √5, we can simplify the expression by dividing the numbers inside the square root.
(2√65)/(√5) = 2(√65/√5)
Next, we can simplify the square roots by dividing the numbers inside them.
2(√65/√5) = 2(√(65/5)) = 2√13
Therefore, the division of 2√65 by √5 is 2√13.
To divide 2√65 by √5, you can simplify the expression by rationalizing the denominator. Rationalizing the denominator means eliminating any square roots from the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.
Let's break down the steps:
1. Express 2√65 as a product of two separate terms: 2 * √65.
2. Rewrite the expression as (2 * √65) / √5.
3. Multiply both the numerator and the denominator by the conjugate of the denominator, which in this case is √5. This will allow us to rationalize the denominator.
(2 * √65 * √5) / (√5 * √5)
Simplifying the denominator, we get:
(2 * √65 * √5) / 5
4. Multiply the terms in the numerator: 2 * √(65 * 5) = 2 * √325.
5. The simplified expression is then (2√325) / 5.
So, the division of 2√65 by √5 simplifies to (2√325) / 5.
To divide 2√65 by √5, we multiply the numerator and denominator by √5 to rationalize the denominator.
(2√65)/(√5) = (2√65 * √5)/(√5 * √5) = (2√(65*5))/(√(5*5)) = (2√325)/5
Therefore, the division of 2√65 by √5 is (2√325)/5.