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
katen-ka-za [31]
3 years ago
10

Find the product of 30−−√ and 610−−√. Express it in standard form (i.

Physics
2 answers:
mixer [17]3 years ago
5 0

The product of \sqrt{30} and 6\sqrt{10} in the standard form is \boxed{60\sqrt3} and the value of a and b are 60 and 3 respectively.

Explanation:

The product of the number in the square root is done by factorizing the number such that the product of the two same number inside the root can be written as the single number.

The mathematical expression for the product of the two same numbers inside a root is as shown:

\begin{aligned}\sqrt{a}.\sqrt{a}&=(\sqrt{a})^2\\&=a\end{aligned}

Similarly, the product of the two numbers \sqrt{30} and 6\sqrt{10} can also be taken by factorizing the number in a proper manner.

Factorize the number \sqrt{30} to its simplest form.

\begin{aligned}\sqrt{30}=\sqrt{3\times10}\\=\sqrt{3}.\sqrt{10}\end{aligned}

The two number can now be multiplied as shown below:

\begin{aligned}\sqrt{30}\times6\sqrt{10}&=\sqrt{3}.\sqrt{10}\times6\sqrt{10}\\&=\sqrt{3}\times(10\times6)\\&=60\sqrt{3}\end{aligned}

Compare the value of the product to the standard form a\sqrt{b}.

a\sqrt{b}=60\sqrt{3}\\a=60, b=3

Thus, the product of \sqrt{30} and 6\sqrt{10} in the standard form is \boxed{60\sqrt3} and the value of a and b are 60 and 3 respectively.

Learn More:

1. what type of mirror do dentist use brainly.com/question/997618

2. the amount of kinetic energy an object has depends on its brainly.com/question/137098

3. Unit of the rotational velocity is brainly.com/question/2887706

Answer Details:

Grade: Junior school

Subject: Physics

Chapter: Products and addition

Keywords:

product, square root, 6 root 10, root 30, standard form, values of a and b, separated, comma, followed by.

Helen [10]3 years ago
4 0
The product of √30 and √610 is 10√183.


√30  = √(2×3×5)
and √610 = √(2×5×61

Since 61 can't be factorised further.
Therefore, the value of √30×√610 is
= √(2×3×5×2×5×61)
= 2×5×√(3×61)
=10√183
You might be interested in
3. The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular velocity in radians per second i
Darya [45]

Answer:

(a) Angular velocity will be 125.6 rad/sec

(b) Linear velocity will be 144.44 m /sec

(c) Centripetal acceleration = 1849.3031 g

Explanation:

We have given diameter d = 2.30 m

So radius r = \frac{d}{2}=\frac{2.30}{2}=1.15m

(a) Speed is given as 1200 rev/min

We know that angular velocity is given by \omega =\frac{2\pi N}{60}=\frac{2\times 3.14\times 1200}{60}=125.6rad/sec

(b) Linear speed is given by v=\omega r=125.6\times 1.15=144.44m/sec

(c) Centripetal acceleration is given by a_c=\frac{v^2}{r}=\frac{144.44^2}{1.15}=18141.664m/sec^2

We know that g=9.81m/sec^2

So 18141.66m/sec^2=\frac{18141.664}{9.81}=1849.3031g

6 0
3 years ago
Determine the acceleration of a pendulum bob as it passes through an angle of 15 degrees to the right of the equilibrium point.
BigorU [14]

Answer:

Explanation:

Since energy is conserved:

2

mu  

2

 

​

=  

2

mv  

2

 

​

+mgh

⇒u  

2

=v  

2

+2gh

⇒(3)  

2

=v  

2

+2(9.8)(0.5−0.5cos60)

⇒v=2m/s

7 0
3 years ago
If the room radius is 4.5 m, and the rotation frequency is 0.8 revolutions per second when the floor drops out, what is the mini
kondaur [170]
<span>The force of static friction F equals the coefficient of friction u times the normal force N the object exerts on the surface: F = uN. N is the centripetal force of the wall on the people; N = ma_N, where m is the mass of the people and a_N is the centripetal acceleration. The people will not slip down if F is greater than the force of gravitation: F = uma_N > mg, or u > g/a_N. a_N is the velocity v of the people squared divided by the radius of the room r: a_N = v^2/r. The circumference of the room is 2 pi r = 28.3 m. So v = 28.3 * 0.8 m/sec = 22.6 m/sec. So a_N = 114 m/sec^2. g = 9.81 m/sec^2, so u must be at least 9.81/114 = 0.086.</span>
3 0
3 years ago
Hi friends any lover mates be mine wannt​
Hunter-Best [27]

Answer:

um how about no.. this is not the site for what you're looking for...

Explanation:

4 0
3 years ago
Read 2 more answers
a trolley of mass 20kg was originally at rest on a smoth horizontal surface. bu how much will it accelerate if a pulling force o
DochEvi [55]

Answer:

just divide 22 N by 20 kg to get the acceleration in m/s2

Explanation:

I hope this is right-

6 0
3 years ago
Other questions:
  • Find the magnitude of the force that our planet's magnetic field exerts on this wire if it is oriented so that the current in it
    5·1 answer
  • Steel is made of atoms of iron and carbon. Would iron
    12·2 answers
  • What should you do if...
    14·1 answer
  • Which chart provides the correct number of neutrons for each isotope of tin (Sn)?
    14·1 answer
  • A graph of velocity versus time (velocity displayed in m/s and time in seconds) displays a
    6·1 answer
  • Someone pls help! My physics quiz is today:(
    11·2 answers
  • A vertical solid steel post of diameter d = 26cmand length L = 2.40m is required to support a load of mass m = 7800kg . You can
    8·1 answer
  • Where do organisms obtain the energy they need
    14·2 answers
  • Which of the following is a result of a limiting factor in an ecosystem?
    10·2 answers
  • How does food affects carbon footprint?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!