The square source of 8 is expressed as √8 in the radical type and as (8)½ or (8)0.5 in the exponent form. The square source of 8 rounded as much as 8 decimal locations is 2.82842712. It is the confident solution the the equation x2 = 8. We have the right to express the square root of 8 in its lowest radical kind as 2 √2.

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## What Is the Square source of 8?

We recognize that enhancement has an inverse operation as subtraction and also multiplication has actually an inverse operation as division. Similarly, recognize the square root is an inverse operation of squaring a number. The square source of 8 gives a number the when multiplied to itself gives the number 8. Hence, we need to think of a number whose square is 8.

## Is the Square root of 8 Rational or Irrational?

A reasonable number is a number that can be to express in the kind of p/q, where p and q room integers and q is no equal to 0. A number the is no a reasonable number is referred to as an irrational number. Non-terminating decimals the have repeated numbers after the decimal allude are rational numbers. Currently let united state look at the square source of 8. The decimal depiction of **√**8 is 2.828427125

Do girlfriend think the decimal part stops after 2.828427125?

Hence, the square source of 8 is not a reasonable number. It is an irrational number.

## How to discover the Square root of 8?

We will discuss two methods to find the square root of 8.

Simplifying the radical that the numbers that space perfect squaresLong division method for perfect and non-perfect squaresThe prime factorization of 8 is 8 = 2 × 2 × 2. Therefore, **√**8 can be simplified further as **√**8 =**√**(2 × 2 × 2) = 2**√**2. Thus, we have actually expressed the square source of 8 in the simplest radical type as 2**√**2

So, **√**8 = 2**√**2

### Square source of 8 by Long division Method

The worth of the square root of 8 by long department method consists of the following steps:

**Step 1**: beginning from the right, we will pair increase the number by placing a bar over them.

**Step 2:**Find a number that, when multiplied to itself, offers the product less than or equal to 8. So, the number is 2. Maintaining the divisor together 2, we acquire the quotient together 2 and the remainder as 4.

**Step 3:**Double the divisor and enter it with a empty on that is right. Guess the largest possible digit to fill in the empty which will come to be the new digit in the quotient, such that when the new divisor is multiply to the new quotient the result product is less than or same to the dividend. Divide and also write the remainder. Repeat this procedure to acquire the decimal areas you want.

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Can you use this method to uncover the square source of 7?

**Explore square roots utilizing illustrations and also interactive examples**

**Important Notes:**

**√**8 = 81/2.We can discover the square root of 8 using the radical type and the long division method.

**Think Tank:**

**√**2) × (-2

**√**2) = 8. So, have the right to we say that -2

**√**2 is a square source of 8?Can you determine a quadratic equation who roots are 2

**√**2 and -2

**√**2?