Divided 4√10/√2
To simplify the expression 4√10/√2, we can multiply the numerator and denominator by √2 to rationalize the denominator.
(4√10/√2) * (√2/√2)
This can be rewritten as:
(4√10 * √2) / (√2 * √2)
Simplifying further:
(4√20) / (√4)
The square root of 4 is 2, so we have:
(4√20) / 2
Now we can divide 4 by 2:
2√20
Finally, we can simplify the square root of 20:
2√(4 * 5)
2√4√5
2 * 2√5 = 4√5
Therefore, the simplified version of 4√10/√2 is 4√5.
To divide the expression (4√10 / √2), we need to simplify the numerator and denominator separately.
Let's start with the numerator: 4√10.
To simplify 4√10, we need to find the largest perfect square that divides 10. In this case, it is 2.
So, we can rewrite 4√10 as 4√(2*5).
Now, we can separate the square root as a product of two square roots: 4√2√5.
Next, we simplify the square root of 2. The square root of 2 cannot be simplified further since 2 is not a perfect square.
Now let's move on to the denominator: √2.
Since the square root of 2 is already simplified, we leave it as is.
So now we can rewrite the expression as: (4√2√5) / √2.
We can cancel out the square root of 2 in the numerator and denominator, which gives us:
(4√5) / 1.
Finally, our simplified expression is 4√5.
To divide 4√10 by √2, you can use the rule of division with square roots. The rule states that when dividing two square roots, we divide the numbers inside the square roots and simplify if possible.
Let's break down the process step by step:
Step 1: Divide the numbers inside the square roots.
√10 / √2 = √(10/2) = √5
Step 2: Multiply the result from Step 1 by 4.
4 * √5 = 4√5
So, the division of 4√10 by √2 is equal to 4√5.