(Figure 1) Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality (2) is only meaningful if both sides are non-negative. Hence, squaring both sides was indeed valid.
Q. What is the square root of 146 in simplest radical form?
The square root of 146 rounded up to 10 decimal places is 12.0830459736….Square Root of 146 in radical form: √146.
Table of Contents
- Q. What is the square root of 146 in simplest radical form?
- Q. What is the square root of 150 in radical form?
- Q. What are the three parts of a radical?
- Q. What is meant by radical inequality?
- Q. What happens when you root an inequality?
- Q. How do you prove Minkowski inequalities?
- Q. How do you solve reciprocal inequalities?
| 1. | What is the Square Root of 146? |
|---|---|
| 3. | Is the Square Root of 146 Irrational? |
| 4. | FAQs |
Q. What is the square root of 150 in radical form?
What is the Square Root of 150 in Simplest Radical Form? We need to express 150 as the product of its prime factors i.e. 150 = 2 × 3 × 5 × 5. Therefore, √150 = √2 × 3 × 5 × 5 = 5 √6. Thus, the square root of 150 in the lowest radical form is 5 √6.
Q. What are the three parts of a radical?
The radical expression ab has three major features, the radical symbol (it looks like a check mark), the index (the small number tucked outside the radical symbol), and the radicand, the quantity written beneath the horizontal bar of the radical symbol.
Q. What is meant by radical inequality?
A radical inequality is an inequality that contains a variable within a radical. You can solve radical inequalities by graphing or using algebra. A radical expression with an even index and a negative radicand has no real roots.
Q. What happens when you root an inequality?
Taking a square root will not change the inequality (but only when both a and b are greater than or equal to zero).
Q. How do you prove Minkowski inequalities?
The typical way I’ve seen to prove Minkowski’s inequality is to take |f(x)+g(x)|p≤|f(x)||f(x)+g(x)|p−1+|g(x)||f(x)+g(x)|p−1, integrate over x, and apply Holder’s inequality to each term on the right, then divide by (∫|f(x)+g(x)|p)(p−1)/p.
Q. How do you solve reciprocal inequalities?
Taking the reciprocal of both a and b can change the direction of the inequality. The general rule is that when a < b then: If (1/a ) > (1/b) when a and b are positive. That is, flip the inequality.
