V90x^26/V2x
a) 3x^12 V5x bV18x^25 c) 5xV3x^12 d none of there
*** the V is the real number root.. aka 2nd x2 on the graphing calc
sqrt (90 x^26) /sqrt (2 x)
= sqrt (45 x^25)
= sqrt ( 9*5*x*x^24)
= 3 * x^12 * sqrt (5 * x)
in other words a
To simplify the expression V90x^26/V2x, we can break it down step by step.
First, let's simplify the numerator V90x^26. The "V" indicates the square root, so √90 is the square root of 90. We can simplify this by factoring out the perfect square factors from 90, which are 2 and 3. So, √90 can be expressed as √(2 * 3 * 3 * 5).
Next, we simplify the variables x^26. To simplify x^26, we use the property of exponents that states x^a * x^b = x^(a + b). Therefore, x^26 can be simplified as x^(2 * 13).
Now, let's simplify the denominator V2x. Similar to the numerator, the "V" indicates the square root, so √2x can be broken down into √(2 * x).
Now, we can rewrite the expression V90x^26/V2x as:
(√(2 * 3 * 3 * 5) * x^(2 * 13)) / (√(2 * x))
Simplifying further, we can cancel out the perfect square factors in the numerator and denominator:
(3 * x^26) / (√(x))
Now, we have simplified the expression to 3x^26 / √x.
In the given answer choices:
a) 3x^12√(5x)
b) √(18x^25)
c) 5x√(3x^12)
d) None of these
None of the given answer choices match the simplified expression 3x^26 / √x.