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2. How do you find the square root of 1/4? - Socratic

   socratic.org/questions/how-do-you-find-the-square-root-of-1-4

   1/2 We have: sqrt(1/4) Using a simple observation, we got: =sqrt((1^2)/(2^2)) Using the properties, (a^b)/(c^b)=(a/c)^b. So, we got =sqrt((1/2)^2) =+-1/2 Since we are talking about real numbers, we will only take the principal (positive) square root, and so the answer will be just 1/2.

3. What is the square root of 4? - Socratic

   socratic.org/questions/what-is-the-square-root-of-4

   2 and -2 are square roots of 4. The principal square root of 4, (denoted sqrt4) is 2 A number is a square root of 4 is, when multiplied by itself, the result is 4. In notation: n is a square root of 4 if n^2 = n xx n = 4 There are two numbers that will work 2 xx 2 = 4 and also -2 xx -2 = 4 so the numbers 2 and -2 are square roots of 4. When people talk about the square root of 4, they usually ...

4. Simplification of Radical Expressions - Algebra - Socratic

   socratic.org/algebra/radicals-and-geometry-connections/simplification-of...

   There are two common ways to simplify radical expressions, depending on the denominator. Using the identities #\sqrt{a}^2=a# and #(a-b)(a+b)=a^2-b^2#, in fact, you can get rid of the roots at the denominator.

5. What is the square root of negative 4? - Socratic

   socratic.org/questions/what-is-the-square-root-of-negative-4

   -4 has two complex square roots, namely +-2i (where i = sqrt(-1)) ... What is the square root of negative 4?

6. How do you find all real square roots of 4? - Socratic

   socratic.org/questions/how-do-you-find-all-real-square-roots-of-4

   The square roots of 4 are: sqrt(4) = 2 -sqrt(4) = -2 Every positive real number n has exactly two real square roots. The one we call the principal square root and denote as sqrt(n) is the positive one. The other square root is -sqrt(n), since: (-sqrt(n))^2 = (sqrt(n))^2 = n In the case of 4, we find 2^2 = 4. So the principal square root of 4 is 2.

7. Graphs of Square Root Functions - Algebra - Socratic

   socratic.org/algebra/radicals-and-geometry-connections/graphs-of-square-root...

   Now, let's explore how to translate a square root function vertically. y = #sqrt(x) + 3# or y = #sqrt(x) - 4#. The addition or subtraction on the OUTSIDE of the square root function will cause the graph to translate up or down. Adding 3 will raise the graph up, and subtracting 4 will lower the graph by 4 units. (see graph)

8. What is Square root of x^2+4? - Socratic

   socratic.org/questions/what-is-square-root-of-x-2-4

   There seem to me to be two aspects to this question: (1) What does "square root of x^2+4" mean? sqrt(x^2+4) is a term which when squared yields x^2+4 : sqrt(x^2+4) xx sqrt(x^2+4) = x^2 + 4 In other words t = sqrt(x^2+4) is the solution t of the equation t^2 = x^2+4 (2) Can the formula sqrt(x^2+4) be simplified? No. For starters (x^2+4) > 0 for all x in RR, so it has no linear factors with real ...

9. How do you simplify #(sqrt(4+h)-2)/h# - Socratic

   socratic.org/questions/58aa1f9311ef6b720d8a24e9

   Given: #(sqrt(4+h)-2)/h# We find: #(sqrt(4+h)-2)/h = ((sqrt(4+h)-2)(sqrt(4+h)+2))/(h(sqrt(4+h)+2))# #color(white)((sqrt(4+h)-2)/h) = ((4+h)-4)/(h(sqrt(4+h)+2))#

10. Find the square root of 4-3i? - Socratic

    socratic.org/questions/find-the-square-root-of-4-3i

    Find the square root of 4-3i? Precalculus. 2 Answers Vinícius Ferraz Aug 7, 2018 ...

11. What is the square root of: x^2 + 4x + 4? | Socratic

    socratic.org/questions/what-is-the-square-root-of-x-2-4x-4

    The square root equals #x+2#. Explanation: First, factor the expression under the radical: