Question

root 15 x root 20 is equal to​

Answer 1

Answer:

the product of the square root of 20 and the square root of 15 is equal to 10√3.

Step-by-step explanation:

Step 1: Write down the square roots that you want to multiply: √20 and √15

Step 2: Multiply the numbers inside the square roots: 20*15 = 300

Step 3: Write the product of the numbers inside the square roots inside another square root: √300

Step 4: Simplify the square root of 300. We can decompose it into prime factors: √300 =  = √(10*10*3)

So the product of the square root of 20 and the square root of 15 is equal to 10√3.

It's always best to decompose the number inside the square root into prime factors and take the square root of them. It's a simple way to find the product of square roots.

Additional knowledge

There are several ways to find the square root of a number, including:

Long division method: This method involves dividing the number under the radical symbol by a series of numbers until the quotient is a whole number.

Prime factorization method: This method involves breaking down the number under the radical symbol into its prime factors, and then grouping them into pairs. The square root of each pair is taken and multiplied together.

Estimation method: This method involves finding an approximate value for the square root by using known squares and estimation.

Using a square root table: A square root table is a pre-calculated table of square roots that can be used to find the square root of a number quickly.

Ultimately, the method you choose will depend on the number you are trying to find the square root of and your personal preference.

Keep in mind that if the number is not a perfect square, the square root will be in decimal form and can't be simplified any further.

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https://brainly.in/question/49326294

To learn more about Long division method from the link below

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Answer 2

Answer:

The root 15 x root 20 is equal to​ = 17.32.

Explanation:

Root 15 × root 20 is asked to be calculated.

To calculate this, the following steps are calculated:

√15 × √20

= √(15×20)

= √( 3×5×2×2×5)

According to the rule of square roots,

= 5×2 √3

= 10√3

= 10 × 1.732 [ by putting the value of √3= 1.732]

= 17.32

It is usually preferable to take the square root of the number that makes up the square root after it has been divided into prime factors. It is an easy method for determining the product of square roots.

The square root will be in decimal form and cannot be further simplified if the value is not a perfect square.

To learn more about square root examples please visit:

https://brainly.in/question/9953556

To learn more about prime factors, please visit:

https://brainly.in/question/49326294

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