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2. Why does sqrtx=x^(1/2)? + Example - Socratic

   socratic.org/questions/why-is-the-square-root-of-x-x-1-2

   Therefore, x1 2 = √x. The reason this is true is that fractional exponents are defined that way. For example, x^ (1/2) means the square root of x, and x^ (1/3) means the cube root of x. In general, x^ (1/n) means the nth root of x, written root (n) (x). You can prove it by using the law of exponents: x^ (1/2)*x^ (1/2)=x^ ( (1/2+1/2))=x^1=x ...

3. How do you write x^(2/3) in radical form? - Socratic

   socratic.org/questions/how-do-you-write-x-2-3-in-radical-form

   Explanation: First, we can rewrite the term as: x2× 1 3. Next, we can use this rule of exponents to rewrite the term again: xa×b = (xa)b. x2× 1 3 ⇒ (x2)1 3. Now, we can use this rule to write the term as an radical: x1 n = n√x. (x2)1 3 = 3√(x2)

4. How would you simplify 2 sqrt 3? - Socratic

   socratic.org/questions/how-would-you-simplify-2-sqrt-3

   sqrt(12) though it may not be a simplification, 2sqrt(3) can be shown as sqrt(12). 2 = sqrt(4) sqrt(3)=sqrt(3) sqrt(4)*sqrt(3) = sqrt(4*3) =sqrt(12)

5. How do you simplify 1 over square root 2? - Socratic

   socratic.org/questions/how-do-you-simplify-1-over-square-root-2

   sqrt2/2 1/sqrt 2 :.sqrt 2/sqrt 2=1 :.=1/sqrt 2 xx sqrt 2/sqrt 2 :.=sqrt2/2

6. What is the square root of 32 plus the square root of 2?

   socratic.org/questions/what-is-the-square-root-of-32-plus-the-square-root-of-2

   It is sqrt32+sqrt2=sqrt(2^4*2)+sqrt2=2^2*sqrt2+sqrt2=5sqrt2. Algebra Radicals and Geometry Connections Addition and Subtraction of Radicals

7. What is 2 times the square root of 3? - Socratic

   socratic.org/questions/what-is-2-times-the-square-root-of-3-1

   something like, √6. Just keep the 2 along with √3. ⇒ 2 × √3 = 2√3. 2 times square root of 3 is 2sqrt3 It is just another simple multiplication. You don't have to directly multiply 2 to 3 as this will result, something like, sqrt6 Just keep the 2 along with sqrt3. So that becomes, rArr2xxsqrt3=2 sqrt3.

8. How do you simplify (square root 2) - Socratic

   socratic.org/questions/how-do-you-simplify-square-root-2-2-square-root-2...

   5/3 * sqrt(6) I'll assume that the expression looks like this (sqrt(2) + 2sqrt(2) + sqrt(8))/sqrt(3) Start by focusing on the numerator. More specifically, notice that you can rewrite sqrt(8) as sqrt(8) = sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2) The numerator will then take the form sqrt(2) + 2 sqrt(2) + 2sqrt(2) = 5sqrt(2) Next, you need to rationalize the denominator. To do that ...

9. 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. Case 1: the denominator consists of a single root. For example, let's say that our fraction is {3x}/ {\sqrt {x+3}}.

10. What is the square root of 2 times the square root of 3?

    socratic.org/questions/what-is-the-square-root-of-2-times-the-square-root-of-3

    Answer link. This question can be interpreted in two ways 1) sqrt2 . sqrt3 2) sqrt (2.sqrt3 Solution 1 sqrt2 . sqrt3 = sqrt6 color (blue) ( approx 2.45 solution 2: sqrt (2.sqrt3 1) finding sqrt3 = color (blue) (1.732 2) finding, 2 times the square root of 3: 2 xx sqrt3 = 2 xx 1.732 = color (blue) (3.464 3) square root of 3.464 = sqrt3.464 ...

11. What is the square root of 2.25? - Socratic

    socratic.org/questions/what-is-the-square-root-of-2-25

    1.5 15^2 = 225, so 2.25 = 225/100 = 225/(10^2) and sqrt(2.25) = sqrt((15^2)/(10^2)) = 15/10 = 1.5. Some situations one way works well and at another time it is not so good.