Simplifying Radicals
Simplify the following radical:
√ 54.
3√ 6
Add the following radicals: 6√3 - 8√3 + 2√3.
0
Multiply the following radicals:
(3√4) (3√24)
36√6
Rationalize the denominator:
√4 / √36.
1 / 3
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Right: Navy Blue
If your wrong: walk the plank 👋🏼
Simplify the following radical:
√ 18.
3√ 2
Add the following radicals: 4√3 + 2√3 + 7√3.
13√3
Multiply the following radicals:
√5 x √8.
2√10
Rationalize the denominator:
√7 / √3.
√21 / 3
Sophia is designing a circular garden with a fountain at its center. The area of the circular garden is given by the formula A=π/4r², where r is the radius of the garden in meters. However, due to some constraints in the available space, she can only use a maximum of 100 square meters for the garden area. Additionally, the cost of the fountain installation is directly proportional to the square root of the area of the circular garden and is given by the formula C=20√A dollars.
$200
Simplify the following radical:
2√ 24.
4√ 6
Subtract the following radicals:
6√5 - √125.
√5
Multiply the following radicals:
(√10)(3√20)
30√2
Rationalize the denominator:
√5 / √20.
1/ 2
quadratic function 𝑓(𝑥)=2𝑥2−3𝑥+1f(x)=2x2−3x+1.
find the end behavior
:b
Simplify the following radical:
3√ 63.
9√ 7
Add the following radicals: √8 + √98 + √72.
15√2
Multiply the following radicals:
(-3√28)(√3)
-6√21
Rationalize the denominator:
7/√6.
7√6 / 6
f(x) = √x³−4x²+5x-2/x²-3x+2
1. Find the domain of the function.
2. Determine the x-intercepts, if any.
3. Find the y-intercept.
4. Find End behavior ( as x--> -infinite, y-->?.....)
5. find Vertical asymptotes
1. **Domain of the Function:**
(−∞,1)∪(1,2)∪(2,∞)
2. **X-intercepts:**
None
3. **Y-intercept:**
(0, √2/2 )
4. End Behavior:
-_-
5. - Vertical asymptotes at x = 1 & x = 2
Simplify the following radical:
4√ 27
12√3
Add/Subtract the following radicals:
7√18 + 2√25 - 3√72.
10 + 3√2
Multiply the following radicals:
4√6(2√27-√18)
72√2-24√3
Rationalize the denominator:
5√2 /√8.
2.5 or 5/2
Put in Standard form,
(-2√2x²+x-10)²=(x-2)²
7x²+8x-44=0