Question

2√27 − 3√125 + √48 − 5√80

141

likes
703 views

Answer to a math question 2√27 − 3√125 + √48 − 5√80

Expert avatar
Miles
4.9
114 Answers
\begin{align*}2\sqrt{27} & = 2 \cdot 3\sqrt{3} = 6\sqrt{3} \\3\sqrt{125} & = 3 \cdot 5\sqrt{5} = -15\sqrt{5} \\\sqrt{48} & = 4\sqrt{3} \\5\sqrt{80} & = 5 \cdot 4\sqrt{5} = -20\sqrt{5} \\\end{align*}
Combining like terms:

6\sqrt{3} + 4\sqrt{3} - 15\sqrt{5} - 20\sqrt{5}

= 10\sqrt{3} - 35\sqrt{5}

Answer: 10\sqrt{3} - 35\sqrt{5}

Frequently asked questions (FAQs)
Math Question: Find the roots of the cubic equation x^3 + 2x^2 + 3x - 4 = 0. (
+
What is the value of 2 raised to the power of 6, divided by the square root of 9?
+
Find the limit as x approaches infinity of (2x^2 + 3)/(x^2 + 5x - 2).
+
New questions in Mathematics
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
7273736363-8
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
4x-3y=5;x+2y=4
7/6-(-1/9)
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))
John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
x²-7x+12=0
9n + 7(-8 + 4k) use k=2 and n=3
12[4 + (8 + 7) + 5]
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?