1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
2 years ago
14

Activity 1.1 Simplify Me Simplify by removing perfect nth powers: 1. √20 2. √300 3. √128 3 4. √ 5 3 5. √50 3

Mathematics
1 answer:
LekaFEV [45]2 years ago
7 0

Answer:

(a)\ \sqrt{20}=2\sqrt{5}

(b)\ \sqrt{300} = 10 \sqrt{3}

(c)\ \sqrt{128} = 8 \sqrt{2}

Step-by-step explanation:

Required

Simplify

(a)\ \sqrt{20}

Express 20 as 4 * 5

\sqrt{20}=\sqrt{4 * 5}

Split

\sqrt{20}=\sqrt{4} * \sqrt{5}

This gives:

\sqrt{20}=2 * \sqrt{5}

\sqrt{20}=2\sqrt{5}

(b)\ \sqrt{300

Express as 100 * 3

\sqrt{300} = \sqrt{100} * \sqrt{3}

This gives:

\sqrt{300} = 10 * \sqrt{3}

\sqrt{300} = 10 \sqrt{3}

(c)\ \sqrt{128}

Express as 64 * 2

\sqrt{128} = \sqrt{64*2}

Split

\sqrt{128} = \sqrt{64} * \sqrt{2}

\sqrt{128} = 8 * \sqrt{2}

\sqrt{128} = 8 \sqrt{2}

<em></em>

<em>Questions 4 and 5 are not clear</em>

<em>Follow the steps in 1 - 3 to solve 4 and 5</em>

You might be interested in
A glass pitcher is filled with water 1/8 of the water is poured equally into two glasses if one fourth of the remaining water is
Lemur [1.5K]
Well we are starting with a full pitcher(1)
1/4=2/8 & 1/8+2/8=3/8
then you subtract that from 1
1-3/8=5/8
5 0
3 years ago
Simplify 2(x - 4) + 7(x + 2).
nevsk [136]
The answer is............ 9x+6
7 0
3 years ago
Solve for w.<br> 5W + 9z = 2z + 3W<br> What is the answer
andreyandreev [35.5K]

Answer:

−7z/2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Each of the figures are similar. Find the missing length
Alisiya [41]

Answer:

63

Step-by-step explanation:

the first one is 9x bigger then the second one

so 7x9 is 63

5 0
3 years ago
Use the diagram of point O. What is the length of OY to the nearest 10th of an Inch? XZ = 10 and OX= 10
Lady bird [3.3K]

From the diagram above,

XZ = 10 in and OX = 10 in

we are to find length of OY

XZ is a chord and line OY divides the chord into equal length

Hence, ZY=YX= 5 in

Now we solve the traingle OXY

To find OY we solve using pythagoras theorem

(Hyp)^2=(Opp)^2+(Adj)^2

applying values from the triangle above

\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}

Therefore,

Length of OY =

5\sqrt[]{3}

8 0
9 months ago
Other questions:
  • 1-What is the sum of the series? ​∑j=152j​ Enter your answer in the box.
    6·1 answer
  • Please help i'm literally terrible at this !
    13·2 answers
  • Simplify <br> 3 2/3 - 2 3/4 =
    10·1 answer
  • The Thompson family is buying a car that can travel 70 miles on two gallons of gas. Assume that the distance traveled in miles y
    5·1 answer
  • How to order ratios least to greatest
    12·1 answer
  • Lionel is planning a one-day outing
    7·1 answer
  • Solving an Equation for a Given Variable
    15·1 answer
  • Rectangles on a quilt are 2 inches wide and 3 inches along the perimeter of each rectangle is made by Pantone of red thread ther
    9·2 answers
  • A P E X!!!! URGENT :The annual interest rate of Belinda's savings account is 8.6% and simple interest is calculated quarterly. W
    7·2 answers
  • What's the opposite of -4
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!