## How to solve a problem with a square root?

Key Concepts

- Isolate the radical on one side of the equation.
- Square both sides of the equation.
- Solve the new equation.
- Check the answer. Some solutions obtained may not work in the original equation.

## How many solutions will this quadratic equation x2 8x 16 has?

4.2 Solving x2-8x+16 = 0 by Completing The Square . This quadratic equation has one solution only. That’s because adding zero is the same as subtracting zero.

**How many solutions does 64 have?**

If the discriminant is positive and also a perfect square like 64, then there are 2 real rational solutions.

### How do you find the square root of 15?

The square root of 15 is √15 approx 3.872 (rounded to three decimals).

### How do you solve square roots step by step?

Here are the steps to finding the square root using factoring:

- Find the factors. Factors are the numbers you multiply to find the total under the square root symbol.
- Separate the factors into their own square roots.
- Solve for the individual squares.
- Finish solving the equation.

**What is the solution of x2 16?**

If we have the equation x2 = 16, what are the solutions to the equation? Since the square of a positive or negative number are always positive, this equation has two solutions, namely x = -4 or x = 4.

#### How many solutions does the following quadratic equation have?

As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

#### What equation has two solutions?

quadratic equation

A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real.

**What is a real solution?**

Real solution definition In chemistry, a real solution is a homogeneous mixture of at least two chemical substances. A “real” solution differs from a colloidal solution (colloid). According to the concentration of the solute, a distinction is made between hypotonic solution, saturated solution, unsaturated solution.

## What is 15 square root simplified?

15=3×5 has no square factors, so √15 cannot be simplified. It is not expressible as a rational number. It is an irrational number a little less than 4 .

## Is 15 a perfect square?

1 Answer. A perfect square is a number that is the result you get from squaring a number. 15 is not a perfect square.