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 =15^{2} =15 x 15 = 225

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

**Perfect Square**

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

examples 1^{2} =1, 2^{2} = 4 , 3^{2} = 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

**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