All categories

3 years ago

Multiplying and simplify radicals!

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

10√5 - 5√2

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

5(2√5 - √2)

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3 years ago

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Step-by-step explanation:

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3 years ago

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4 years ago

What is the exact solution to the equation 4^5x=3^(x-2)<br> list the steps to get the answer

scoray [572]

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

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3 years ago

A cube has a side length of x inches. What expression represents the total volume, in cubic inches, of the cube?

Pie

Answer:

Volume = $x^3$ cubic inches

Step-by-step explanation:

A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.

We know,

Volume = area of base * height

THe base is a square and the area is side * side. We know each side is x, so we have:

Area of Square = Area of Base = x * x = $x^2$

Now, we know height is also same side length, x, thus the volume becomes:

Volume = area of base * height

Volume = $x^2*x$

We add the exponents when we have same base multiplied, so the expression for volume becomes:

Volume = $x^2*x=x^3$

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3 years ago