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antoniya [11.8K]
2 years ago
8

1 point

Mathematics
1 answer:
Dimas [21]2 years ago
8 0

Answer:

The simplest radical form is 9\sqrt{5} ⇒ (c)

Step-by-step explanation:

To simplify any square root;

  • Factorize the number under the root using prime numbers
  • Take out the root any number repeated twice as one number

<em><u /></em>

<em><u>Examples:</u></em>

1. Simplify \sqrt{8}

factorize 8 using prime numbers

8 = 2 × 2 × 2, then \sqrt{8}=\sqrt{(2)(2)(2)}

Take two of 2 out the root, then \sqrt{8}=2\sqrt{2}

2. Simplify \sqrt{18}

factorize 18 using prime numbers

18 = 2 × 3 × 3, then \sqrt{18}=\sqrt{(2)(3)(3)}

Take the two 3 out the root, then \sqrt{18}=3\sqrt{2}

Let us simplify 3\sqrt{45}

∵ 45 = 3 × 3 × 5

∴ 3\sqrt{45}=3\sqrt{(3)(3)(5)}

→ Take the two 3 out by one 3

∴  3\sqrt{45}=3(3)\sqrt{5}

→ Multiply the numbers out the root

∴ 3\sqrt{45}=9\sqrt{5}

∴ The simplest radical form is 9\sqrt{5}

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Subtracting mixed number 4_1 - 2_7 4 8 4
aleksandr82 [10.1K]

Answer:

4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}

Step-by-step explanation:

Given

4\frac{1}{4} - 2\frac{7}{8} --- proper representation of the question

Required

Evaluate

Convert numbers to improper fractions

4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}

Take LCM

4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}

4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}

Convert to improper fraction

4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}

8 0
3 years ago
Malachy was thinking of a number. Malachy adds 9 then divides by 3 to get an answer of 48. Form an equation with
stepladder [879]

Step-by-step explanation:

Let,

  • Number = x

(x+9) \div  3=48

x+9=48\times 3

x+9=144

x=144-9

x=135

Therefore,

The number = 135

6 0
2 years ago
Here goes another question lol oops
Murrr4er [49]
Student 1 and 3.
- (5r - 3s + 1) =  - 5r + 3s - 1
Move the negative into the brackets,
positive becomes negative while two negatives make a positive.
3 0
3 years ago
Read 2 more answers
Suppose you are the manager of a high school cafeteria. You want to create a new breakfast and lunch menu for the students. Desc
zubka84 [21]

Answer:

by making a recipt with a cash machine or putting a thing for everytime someone buys something

Step-by-step explanation:

3 0
2 years ago
Amelia wants to paint three walls in her family room. Two walls are 26 feet long by 9 feet wide. The other wall is 18 feet long
sattari [20]
Given:
Wall 1 & 2 : 26 ft by 9 ft
Wall 3 : 18 ft by 9 ft

Area 1 : 26 ft x 9 ft = 234 ft²
Area 2 : 26 ft x 9 ft = 234 ft²
Area 3 : 18 ft x 9 ft = 162 ft²

Total Area : 234 ft² + 234 ft² + 162 ft² = 630 ft²

1 Gallon = 250 ft²

630 ft² ÷ 250 ft² per gallon = 2.52 gallons
6 0
3 years ago
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