Question

solve for d in term of s, s = 3/2 square root d with a 4 on top of the square root
Answer
what does the 4 mean
Answer
what does a number on a square root mean
Answered by GPT 3.5
To solve for d in terms of s, we can first isolate the square root of d in the equation:

s = 4/2 * sqrt(d)
s = 2(sqrt(d))

Next, divide both sides by 2:

s/2 = sqrt(d)

Square both sides to eliminate the square root:

(s/2)^2 = d
s^2 / 4 = d

Therefore, d = s^2 / 4.
Answered by GPT 3.5
I apologize for the confusion. The 4 on top of the square root is indicating that the entire term should be multiplied by 4. Let's correct the solution:

Given: s = 4 * (3/2) * sqrt(d)

Simplify the right side:

s = 6 * sqrt(d)

Now we can isolate the square root of d:

s = 6(sqrt(d))
s/6 = sqrt(d)

Square both sides to eliminate the square root:

(s/6)^2 = d

Therefore, d = (s/6)^2.
Answered by GPT 3.5
When a number is placed on top of a square root sign, it typically indicates that the entire expression under the square root should be multiplied by that number. For example, if you see sqrt(a) with a 4 on top of the square root sign, it means 4 * sqrt(a).

In the context of the problem you provided earlier (s = 4 * sqrt(3/2 * d)), the 4 on top of the square root indicates that the square root of 3/2 times d should be multiplied by 4.