5√10 + √10 = (5 + 1)√10 = 6√10
Therefore, the answer is C. 6√10
Add 5√10 + √10.
A. √60
B. 6√20
C. 6√10
D. √25
31 answers
Subtract 11√19 - 5√19.
The difference is ___
The difference is ___
11√19 - 5√19 = (11 - 5)√19 = 6√19
Therefore, the difference is 6√19.
Therefore, the difference is 6√19.
Multiply (5√19) (6√2). Give an exact answer.
(5√19) (6√2) = 30√(19√2)
Simplifying further, we can multiply the coefficients and square roots separately:
30 * √(19 * 2) = 30 * √38
Therefore, the product is 30√38.
Simplifying further, we can multiply the coefficients and square roots separately:
30 * √(19 * 2) = 30 * √38
Therefore, the product is 30√38.
Divide 36√39/9√13. Provide an exact answer.
To divide the expression, we can divide both the coefficients and square roots separately:
36√39/9√13 = (36/9) * (√39/√13) = 4 * √3
Therefore, the exact answer is 4√3.
36√39/9√13 = (36/9) * (√39/√13) = 4 * √3
Therefore, the exact answer is 4√3.
Simplify ³√54.
Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.
Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.
³√54 = √(54^(1/3))
To simplify this expression, we can break down 54 into its prime factors:
54 = 2^1 * 3^3
Now we can simplify:
³√54 = ³√(2^1 * 3^3) = ³√(2 * (3^2 * 3^1)) = ³√(2 * 27)
Since 2 is already a perfect cube, we can take it out of the cube root:
³√(2 * 27) = ³√2 * ³√27
Now, ∛2 is already simplified, we just need to simplify ∛27:
³√27 = ³√(3^3) = 3
Therefore, the simplified form of ³√54 is 3∛2.
To simplify this expression, we can break down 54 into its prime factors:
54 = 2^1 * 3^3
Now we can simplify:
³√54 = ³√(2^1 * 3^3) = ³√(2 * (3^2 * 3^1)) = ³√(2 * 27)
Since 2 is already a perfect cube, we can take it out of the cube root:
³√(2 * 27) = ³√2 * ³√27
Now, ∛2 is already simplified, we just need to simplify ∛27:
³√27 = ³√(3^3) = 3
Therefore, the simplified form of ³√54 is 3∛2.
Find the square root of 169: √169.
A. -13
B. 13
C. 84.5
D. 13, -13
A. -13
B. 13
C. 84.5
D. 13, -13
√169 = 13
Therefore, the answer is B. 13
Therefore, the answer is B. 13
Find the cube root of -729: ³√-729
A. 9, -9
B. -9
C. 243
D. 9
A. 9, -9
B. -9
C. 243
D. 9
³√-729 = -9
Therefore, the answer is B. -9
Therefore, the answer is B. -9
Find the cube root of -8: ³√-8
³√-8 = -2
Therefore, the answer is -2.
Therefore, the answer is -2.
The total cost for cleaning a square garden is $50.00. If the charge was $0.50 per square meter, what is the length of each side of the garden?
A. 100 meters
B. 20 meters
C. 10 meters
D. 5 meters
A. 100 meters
B. 20 meters
C. 10 meters
D. 5 meters
Since the charge is $0.50 per square meter, and the total cost is $50.00, we can set up an equation to solve for the area.
Let x be the length of each side of the square garden.
The area of a square is given by side length squared, so the equation is:
x^2 = 50 / 0.50
x^2 = 100
Taking the square root of both sides, we find:
x = √100
x = 10
Therefore, the length of each side of the garden is 10 meters.
The answer is C. 10 meters.
Let x be the length of each side of the square garden.
The area of a square is given by side length squared, so the equation is:
x^2 = 50 / 0.50
x^2 = 100
Taking the square root of both sides, we find:
x = √100
x = 10
Therefore, the length of each side of the garden is 10 meters.
The answer is C. 10 meters.
What is the irrational square root √63 rewritten as the product of an integer and another irrational square root, in simplest form?
√63 can be simplified as follows:
√63 = √(3 * 3 * 7) = 3√7
Therefore, √63 can be rewritten as the product of an integer (3) and another irrational square root (√7).
√63 = √(3 * 3 * 7) = 3√7
Therefore, √63 can be rewritten as the product of an integer (3) and another irrational square root (√7).
What is the irrational cube root ³√81 rewritten as a product of an integer and another irrational cube root?
Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.
Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.
³√81 can be simplified as follows:
³√81 = ³√(3 * 3 * 3 * 3) = 3 * ³√(3 * 3)
Therefore, ³√81 can be rewritten as the product of an integer (3) and another irrational cube root (³√9).
³√81 = ³√(3 * 3 * 3 * 3) = 3 * ³√(3 * 3)
Therefore, ³√81 can be rewritten as the product of an integer (3) and another irrational cube root (³√9).
What is ³√72 simplified?
Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.
Note: You will find the option to add a cubic root symbol in the Algebra (×) keyboard.
³√72 can be simplified as follows:
³√72 = ³√(2 * 2 * 2 * 3) = 2 * ³√(2 * 9)
Therefore, ³√72 can be simplified as the product of an integer (2) and another irrational cube root (³√18).
³√72 = ³√(2 * 2 * 2 * 3) = 2 * ³√(2 * 9)
Therefore, ³√72 can be simplified as the product of an integer (2) and another irrational cube root (³√18).
Find the cubic root of 135.
A. 3√5
B. 3³√5
C. 5³√27
D. ³√5
A. 3√5
B. 3³√5
C. 5³√27
D. ³√5
To find the cubic root of 135, we look for the prime factors of 135:
135 = 3 * 3 * 3 * 5 = 3³ * 5
The cubic root of 135 can be expressed as:
³√135 = ³√(3³ * 5)
Using the properties of cube roots, we can simplify:
³√(3³ * 5) = 3 * ³√5
Therefore, the cubic root of 135 is 3 * ³√5.
The answer is B. 3³√5.
135 = 3 * 3 * 3 * 5 = 3³ * 5
The cubic root of 135 can be expressed as:
³√135 = ³√(3³ * 5)
Using the properties of cube roots, we can simplify:
³√(3³ * 5) = 3 * ³√5
Therefore, the cubic root of 135 is 3 * ³√5.
The answer is B. 3³√5.
What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for pi.
A. 7.07 miles
B. 63.59 miles
C. 14.13 miles
D. 14.2 miles
A. 7.07 miles
B. 63.59 miles
C. 14.13 miles
D. 14.2 miles
what is the answer?
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given a diameter of 4.5 miles, and using 3.14 for π, we can calculate the circumference:
Circumference ≈ 3.14 * 4.5 = 14.13
Therefore, the circumference of a circle with a diameter of 4.5 miles is approximately 14.13 miles.
The answer is C. 14.13 miles.
Circumference = π * diameter
Given a diameter of 4.5 miles, and using 3.14 for π, we can calculate the circumference:
Circumference ≈ 3.14 * 4.5 = 14.13
Therefore, the circumference of a circle with a diameter of 4.5 miles is approximately 14.13 miles.
The answer is C. 14.13 miles.
Rewrite the irrational cube root 189−−−√3 as the product of an integer and another irrational cube root. Show your work. Note: You will find the option to add a cubic root symbol in the Algebra ( × ) keyboard.
To rewrite the cube root of 189 as the product of an integer and another irrational cube root, we can break down 189 into its prime factors:
189 = 3 * 3 * 3 * 7
Now, let's simplify:
³√189 = ³√(3 * 3 * 3 * 7) = ³√(3³ * 7)
Using the property of cube roots, we can rewrite this as:
³√(3³ * 7) = 3 * ³√7
Therefore, the cube root of 189 can be rewritten as the product of an integer (3) and another irrational cube root (³√7).
189 = 3 * 3 * 3 * 7
Now, let's simplify:
³√189 = ³√(3 * 3 * 3 * 7) = ³√(3³ * 7)
Using the property of cube roots, we can rewrite this as:
³√(3³ * 7) = 3 * ³√7
Therefore, the cube root of 189 can be rewritten as the product of an integer (3) and another irrational cube root (³√7).
Answers:
6√10
6√19
30√38
4√3
3³√2
13
-9
-2
10 meters
3√7
3³√3
2³√9
3³√5
14.13 miles
6√10
6√19
30√38
4√3
3³√2
13
-9
-2
10 meters
3√7
3³√3
2³√9
3³√5
14.13 miles