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3 years ago

14

Simplify the expression: √18x^4y^3

2 answers:

Travka [436]3 years ago

7 0

Answer:

$3x^2y\sqrt{2\cdot y}$

Step-by-step explanation:

We have been given an radical expression. We are asked to simplify our given expression.

$\sqrt{18x^4y^3}$

We can rewrite terms of our given function as:

$\sqrt{18\cdot x^4\cdot y^3}$

$\sqrt{2\cdot 9\cdot x^4}\cdot y^2\cdot y}$

$\sqrt{2\cdot 3^2\cdot (x^2)^2\cdot y^2\cdot y}$

Using radical rule $\sqrt[n]{a^n}=a$ , we will get:

$3x^2y\sqrt{2\cdot y}$

Therefore, the simplified form of our given expression would be $3x^2y\sqrt{2\cdot y}$ .

Marina86 [1]3 years ago

3 0

The answer is 3x^2y <span>√</span>2y.

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Sviatoslav solved the quadratic equation x^2-x-1=0 by completing the square. In the process, he came up with the equivalent equa

zimovet [89]

Answer:

$x=\frac{1+\sqrt5}{2}$ and $x=\frac{1-\sqrt5}{2}$

and b= $\frac{5}{4}$

Step-by-step explanation:

We are given that a quadratic equation

$x^2-x-1=0$

We have to solve the equation by completing square and find the value of b.

$(x)^2-2\times x\times \frac{1}{2}+(\frac{1}{2})^2-(\frac{1}{2})^2-1=0$

$(x-\frac{1}{2})^2-\frac{1}{4}-1=0$

$(x-\frac{1}{2})^2-\frac{1-4}{4}=0$

$(x-\frac{1}{2})-\frac{5}{4}=0$

$(x-\frac{1}{2})^2-(\frac{\sqrt5}{2})^2=0$

$(x-\frac{1}{2})^2=(\frac{\sqrt5}{2})^2$

$x-\frac{1}{2}=\frac{\sqrt5}{2}$ and $x-\frac{1}{2}=-\frac{\sqrt5}{2}$

$x=\frac{\sqrt5}{2}+\frac{1}{2}=\frac{1+\sqrt5}{2}$

And $x=\frac{1}{2}-\frac{\sqrt5}{2}=\frac{1-\sqrt5}{2}$

Therefore, $x=\frac{1+\sqrt5}{2}$ and $x=\frac{1-\sqrt5}{2}$

and b= $\frac{5}{4}$

6 0

3 years ago

Enter the answer as an exact decimal or simplify

bixtya [17]

Answer:

1/2

Step-by-step explanation:

Write all numerators above the leas common denominator 10

Calculate the sum -2+7=5

5/10

reduce the fraction by dividing both sides by 5

6 0

3 years ago

Find the distance from point P to RQ

Wewaii [24]

Answer:

option A : about 2.8 units

Step-by-step explanation:

To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).

$Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}$

= 2.83 units

4 0

3 years ago

Read 2 more answers

What is the completely factored form of 3x^2-12x-15

olga_2 [115]

3x² - 2 - 12x - 15

Factor.

= 3 ( x + 1 ) ( x - 5 )

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3 years ago

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allsm [11]

Answer:

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