The simplified expression by rationalizing the denominator is (C)
.First we must simplify the expression:

Then we factor the rational parts and cancel it out:

Then we rationalize the expression:

<span>Finally, the simplified expression by rationalizing the denominator is (C)

.</span>
Answer:
531441
Step-by-step explanation:
We can find by factorization
531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)
![\sqrt[3]{531441}=\sqrt[3]{9*9*9*9*9*9} =9*9 = 81\\\\\\\sqrt{531441}=\sqrt{(9*9)*(9*9)*(9*9)}=9*9*9=729](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B531441%7D%3D%5Csqrt%5B3%5D%7B9%2A9%2A9%2A9%2A9%2A9%7D%20%20%3D9%2A9%20%3D%2081%5C%5C%5C%5C%5C%5C%5Csqrt%7B531441%7D%3D%5Csqrt%7B%289%2A9%29%2A%289%2A9%29%2A%289%2A9%29%7D%3D9%2A9%2A9%3D729)
Answer:
length = x - 2
Step-by-step explanation:
Area (A) of rectangle = lw ( l is the length and w the width )
A = x² - 7x + 10 = (x - 2)(x - 5) ← in factored form
l =
= 
cancel the factor (x - 5) on the numerator/ denominator, hence
l = x - 2