Redbedsaid22
Redbedsaid22
19-05-2024
Mathematics
Answered
Can someone help with this
Answer :
saritadevi6120
saritadevi6120
19-05-2024
Step-by-step explanation:
Simplify the expression \sqrt{x^{2}+12}- \sqrt{12}.
Write the expression as a product where the root of one of the factors can be evaluated.
sqrt(x ^ 2 + 12) - sqrt(4 * 3)
Write the expression in exponential form with the base 2.
sqrt(x ^ 2 + 12) - sqrt(2 ^ 2 * 3)
Use the property that the root of a product is equal to the product of the roots of each factor.
sqrt(x ^ 2 + 12) - sqrt(2 ^ 2) * sqrt(3)
Take the square root of 2 ^ 2
sqrt(x ^ 2 + 12) - 2sqrt(3)
Substitute x = 0 into the simplified expression.
sqrt(x ^ 2 + 12) - 2sqrt(3)
sqrt(0 ^ 2 + 12) - 2sqrt(3)
Simplify the expression.
0
Solution
The limit is 0.
Answer Link
VIEW ALL ANSWERS ( 86+ )
Other Questions
Effect of increase in heat from temperature range of 50 to 100 on iron
Quiz: Medieval TimesQuestion 10 of 10The Byzantine style introduced what into the history of art?A. PortraitureB. AbstractionC. NaturalismD. PerspectiveSUBMIT
Consider the incomplete paragraph proof.Given: Isosceles right triangle [tex]$XYZ$[/tex] [tex]$\left(45^{\circ}-45^{\circ}-90^{\circ}\right)$[/tex] triangleProv
OMARK FOR REVIEW76. When should hand antiseptics be used?O When handwashing stations are not availableBefore drying hands to remove excess soapO After handling
Sphere A has a radius of 24 centimeters, and sphere [tex]$B$[/tex] has a diameter of 42 centimeters. By what factor must the radius of sphere [tex]$A$[/tex] be
Select the statement below that best describes the key structure/function relationship of the ATP synthase complex. a. Proton flow through the F. subunit causes
Given the function [tex]\[ f(x)=\frac{x^2-6x+8}{x+2} \][/tex]1. Find the [tex]\(y\)[/tex]-intercept(s): Select the correct choice below and fill in any answer
Several factors are at work in America's chaotic politics. But the deepest crisis, in my view, is political -- the failure of America's political institutions t
Predict the geometries of the following ions: (a) NH 4, (b) NH-2, (c) CO2-3, (d) ICI-2, (e) ICI-4, (f) A1H-4, (g) SnCI-5, (h) H3O , (i) BeF2-4
During his political career, Huey Long implemented the following program:a. Trueb. False
Using the terms DNA, trait, code, pattern, gene, describe why each organism is unique
Round 3,989.23655 to the nearest thousandth.
What is the term for molten material found below the earth's surface? A. lava B. basalt C. magma D. gabbro
a rectangular field has a perimeter of 500m and an area of 14400m2. Find the lengths of the sides
Least from least to greatest 1/5, 0.1, -1/2, -0.25, -0.3
Write the expression in factored form. 3m-6n 12x-18y 6x-18
What is 84.7 divided by 7
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time since observations of the island
Consider a very low (zero) friction, 5.0 kg skateboard on a ramp at an angle of 15 degrees to the horizontal. What would be the net force that would cause the a
what is 0.003 is one tenth of?