# The Square Root Of 15

The square root of 15 in the radical form is expressed as √15 and in exponent form as (15)½ or (15)0.5. The square root is rounded up to 8 decimals is 3.87298335. It is a positive solution of the equation x2 = 15.

## Square Of A Number

The square of a number raised to power 2.

example

square of 15 =152 =15 x 15 = 225

square of 3/4=( 3/4 )2 = (3/4 x 3/4 ) = 9/24

Perfect Square

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A Natural number is called a perfect square, if it is the square of some natural number.

examples 12 =1, 22 = 4 , 32 = 9 and so on. Each number 1,4, 9,… is a perfect square.

### What is Square Root?

The square root of a number x is that number which when multiplied by itself gives x as a product.

Examples

since 7 x 7 = 49, so, √49 = √ (7 7) = 7

3/5 x 3/5 = 9/25 , so,9/25= 3/5 = √3/5 is 3/5

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#### Methods Of Finding The Square Roots Of Numbers

Step 1 Resolve the given number into prime factors.

Step 2 Make pairs of similar factors

Step 3 The product of prime factors, choosing one out of every pair, gives the square root of the given number.

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##### What is the Square Root of 15?

The symbol which   called a radical sign.

Find the value of √15

Solve √15 = !5 x 15 x 15 = 225,

means √15 = (√3.2789 )2

√3.2789 x √3.2789

√15= √3.2789