1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. <span>√4 = 2, rational.</span>
√4 + <span>√16 = 2 + 4 = 6. rational
</span>√5 + √36...<span> irrational
</span>√9 + <span>√24... irrational
</span>2 × <span>√4 = 2 × 2 = 4. rational
</span>√49 × <span>√81 = 7 × 9 = 63. rational
</span>3√12... irrational
2.


3.


4.
![n^\frac1x=\sqrt[x]n](https://tex.z-dn.net/?f=n%5E%5Cfrac1x%3D%5Csqrt%5Bx%5Dn)
![\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bm%5E2n%5E5%7D%3Dm%5E%7B%5Cfrac23%7Dn%5E%7B%5Cfrac53%7D)
5.


A, since neither 3 nor 12 is a square but we end up with 6.
Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.
<h3>Given information-</h3>
The triangle for the given problem is shown in the image below.
Form the figure the length of the each side is
units.
As all the sides are equal thus the
is a equilateral triangle in which the height of the divides the triangle into two equal part of the length
at point <em>R.</em>
<h3>Height of the triangle-</h3>
Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.
Now in the
, the length of the hypotenuse is
units and the length of the base is
units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

Solve for <em>h,</em>
<em />
<em />
<em />
<em />
Thus the height of the tringle is 24 units. Hence option 2 is the correct option.
Learn more about the equilateral triangle here;
brainly.com/question/4268382
Suppose Jenny publishes X post per day, and Antonio publishes Y post per day.
So, the combined number of posts will be X+Y multiplied by the number of days.
For example, if the numbers of days is Z, Jenny and Antonio published Z(X+Y) posts.
The final answer is:
y - 34 = x2 - 12x