Is this correct:
sqrt2/sqrt10=sqrt2/5sqrt2
nope.
it would be sqrt2/(sqrt5)(sqrt2)
no.d
sqrt2/sqrt10=
sqrt (2/10)= sqrt (1/5) sqrt 0.2
thanks can you help me with this please?
Factor:9x^2-8y^2
oh ok;
can one of you help me with this:
4sqrtx^12/24sqrtx^2
4sqrtx^12/24sqrtx^2
4/4 =1 and 4/24 = 6
(sqrtx12/6*sqrt(x2=
x6/6*x =
x5/6
Check me on this.
Certainly! Let's go through it step by step to factor the expression 9x^2 - 8y^2.
Step 1: Recognize the pattern
The given expression is in the form of a difference of squares, which can be factored using the formula (a^2 - b^2) = (a + b)(a - b).
Step 2: Identify variables and coefficients
In our case, the variables are "x" and "y," and the coefficients are 9 and 8, respectively.
Step 3: Apply the formula
Using the difference of squares formula, we can write:
9x^2 - 8y^2 = (3x)^2 - (2y)^2
Step 4: Factor the expression
Now that we have identified the terms as squares, we can factor the expression using the formula:
(3x)^2 - (2y)^2 = (3x + 2y)(3x - 2y)
Therefore, the factored form of 9x^2 - 8y^2 is (3x + 2y)(3x - 2y).
As for your other question about simplifying (4sqrt(x^12))/(24sqrt(x^2)), let's break it down step by step.
Step 1: Simplify the coefficients
4/24 = 1/6
Step 2: Simplify the square roots
(sqrt(x^12))/(sqrt(x^2)) = x^6/x
Step 3: Combine the simplified terms
Multiplying the simplified coefficient and the simplified square roots, we get:
(1/6) * (x^6/x) = x^5/6
Therefore, the simplified form of (4sqrt(x^12))/(24sqrt(x^2)) is x^5/6.
You can always double-check these steps to ensure accuracy. Let me know if you have any further questions!