5) V108 How do I simplify this

1 answer
Question:

5) V108
How do I simplify this

Answers

Answer:[tex]\large\boxed{\sqrt{108}=6\sqrt3}[/tex]Step-by-step explanation:[tex]\sqrt{108}=\sqrt{4\cdot27}=\sqrt{4\cdot9\cdot3}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt9\cdot\sqrt3=2\cdot3\cdot\sqrt3=6\sqrt3\\==========================\\\\\sqrt{108}=\sqrt{36\cdot3}=\sqrt{36}\cdot\sqrt3=6\sqrt3\\\\==========================\\\\\begin{array}{c|c}108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}\qquad108=2^2\cdot3^2\cdot3\\\\\sqrt{108}=\sqrt{2^2\cdot3^2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt3\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot3\cdot\sqrt3[/tex]

Similar Solved Questions

1 answer

Define and Compare Boiling point, Melting point, and Freezing point.

Define and Compare Boiling point, Melting point, and Freezing point....
1 answer

What 2 arteries supply oxygenated blood to the upper and lower areas of the stomach?

What 2 arteries supply oxygenated blood to the upper and lower areas of the stomach?...
1 answer

What are the zeros for the polynomial, y = 9 (x – 5) (z? – 16) (2 – 7)select all that apply. 5 4 -4 7 9 1

What are the zeros for the polynomial, y = 9 (x – 5) (z? – 16) (2 – 7)select all that apply. 5 4 -4 7 9 1...
2 answers

Need help don’t know the answer

Need help don’t know the answer...
1 answer

Question 35 need help it can be more than one

question 35 need help it can be more than one...
2 answers

Solve the following simultaneous equations using an appropriate method. a) 7x + 3y = 16 y = 4x - 1 b) 2x + y = 8 4x + 3y = 16 c) -3x + 2y = 19 4x + 5y = 13 d) -3x + 7y = 9 4x - 3y = 7 e) -4x + 5y = -7 x = 23 - 3y f) y = -x y = -2/5x - 1/5

Solve the following simultaneous equations using an appropriate method. a) 7x + 3y = 16 y = 4x - 1 b) 2x + y = 8 4x + 3y = 16 c) -3x + 2y = 19 4x + 5y = 13 d) -3x + 7y = 9 4x - 3y = 7 e) -4x + 5y = -7 x = 23 - 3y f) y = -x y = -2/5x - 1/5...
1 answer

What is the product of 2/5 and 3/5

what is the product of 2/5 and 3/5...
2 answers

Help me 1+11+1 plz help me ​

help me 1+11+1 plz help me ​...
1 answer

5x (-3) A .The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich B.The temperature change as it decreases 5 degrees every hour for 3 hours С. A child grew 3 inches each year for 5 years D.The change in elevation of a submarine as thinks 3 meters every second for 5 seconds

5x (-3) A .The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich B.The temperature change as it decreases 5 degrees every hour for 3 hours С. A child grew 3 inches each year for 5 years D.The change in elevation of a submarine as thinks 3 meters every second for 5 secon...
1 answer

If the rate constant of a reaction is 0.010 L/mols at 30 °C, calculate the rate constant at 100 °C assuming the rate doubles for each 10 °C rise in temperature. It says that the answer is 1.3 L/mols, but I don't understand why.

If the rate constant of a reaction is 0.010 L/mols at 30 °C, calculate the rate constant at 100 °C assuming the rate doubles for each 10 °C rise in temperature. It says that the answer is 1.3 L/mols, but I don't understand why....
1 answer

In one hour Dele walks 8km. how long will it take her to walk 14km at the same rate​

in one hour Dele walks 8km. how long will it take her to walk 14km at the same rate​...
1 answer

What is 3 most needed cell in the body

What is 3 most needed cell in the body...
1 answer

2 Clouds areasWhen theon the earth's surface iswater vapour which rises into theThis is calledfrom water vapour, whichinto tiny drops of liquid water. This is called3are blown inland by the wind.Clouds get heavy and water falls back to the earth as rain orback to thThe water from rain and melted snow is taken bycalledThe cycle starts again.mbridge Global English for Cambridge Secondary 1 English as a Second Language Stage 8 We​

2 Clouds areasWhen theon the earth's surface iswater vapour which rises into theThis is calledfrom water vapour, whichinto tiny drops of liquid water. This is called3are blown inland by the wind.Clouds get heavy and water falls back to the earth as rain orback to thThe water from rain and melted sno...
1 answer

Please help!!!!!!!!!!!!!

Please help!!!!!!!!!!!!!...
1 answer

Scarlett has a part time job that pays $6.75 an hour during spring vacation she worked Two hours on Monday five hours on Tuesday and four hours on Thursday how much money did Scarlett earn over spring vacation

Scarlett has a part time job that pays $6.75 an hour during spring vacation she worked Two hours on Monday five hours on Tuesday and four hours on Thursday how much money did Scarlett earn over spring vacation...
2 answers

5 and 1/4 divided by 2 and 1/3

5 and 1/4 divided by 2 and 1/3...
1 answer

An earthquake shook the town, and several buildings were destroyed. A. several buildings were destroyed B. shook the town, and several buildings C. An earthquake shook the town, several buildings were destroyed

An earthquake shook the town, and several buildings were destroyed. A. several buildings were destroyed B. shook the town, and several buildings C. An earthquake shook the town, several buildings were destroyed...
1 answer

Cellular respiration is similar in both plants and animals in what way?

Cellular respiration is similar in both plants and animals in what way?...
2 answers

What are the next two terms in the pattern 3,6,5,10,9,18,17

what are the next two terms in the pattern 3,6,5,10,9,18,17...
2 answers

Ry In your opinion, which types of stories are best told through poetry? Check all that you agree with. stories about superheroes O stories about emotions stories about real people stories about myths and legends stories about funny situations stories of all kinds

ry In your opinion, which types of stories are best told through poetry? Check all that you agree with. stories about superheroes O stories about emotions stories about real people stories about myths and legends stories about funny situations stories of all kinds...

-- 0.010497--