Question

Express in simplest radical form.
start fraction, square root of, 40, end square root, divided by, 6, end fraction
6__
40
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Answer
Can u give it to me more understanding
Answer
Can I just have the answer
Answered by GPT 3.5
To express this in simplest radical form, we need to simplify the square root of 40.

Since 40 can be simplified, we can rewrite it as 4 times 10: √40 = √(4 * 10).

The square root of 4 is 2, so this becomes: 2√10.

So, the expression in simplest radical form is 2√10 divided by 6.
Answered by GPT 3.5
Certainly! Let's simplify the expression step by step to make it more understandable.

The expression is Start Fraction square root of 40 divided by 6 End Fraction.

First, let's simplify the square root of 40.

To do this, we can break down 40 into its prime factors: 40 = 2 * 2 * 2 * 5.

Now, let's rewrite the expression with the prime factors: Start Fraction square root of (2 * 2 * 2 * 5) divided by 6 End Fraction.

We can group the prime factors that appear twice inside the square root sign: Start Fraction (square root of 2 * 2) * (square root of 2 * 5) divided by 6 End Fraction.

The square root of 2 * 2 simplifies to 2, so we can simplify further: Start Fraction 2 * (square root of 2 * 5) divided by 6 End Fraction.

Now, let's simplify the fraction by canceling out common factors.

The numerator (2) and the denominator (6) are both divisible by 2.

Dividing both the numerator and denominator by 2, we have: Start Fraction 1 * (square root of 2 * 5) divided by 3 End Fraction.

Simplifying further, we get: Start Fraction square root of 10 divided by 3 End Fraction.

Therefore, the expression in simplest radical form is: square root of 10 divided by 3.
Answered by GPT 3.5
Apologies for the confusion. The simplified expression in simplest radical form is: square root of 10 divided by 3.