Math, asked by sajnarajeev1, 6 months ago

is 90000 a perfect square?​

Answers

Answered by worldthe964
2

Answer:

Yes

Step-by-step explanation:

90000 is a perfect square.

300×300=90000

 \sqrt{90000}

=300

Answered by bhuvna789456
0

Yes, the number 90,000 is a perfect square.

Explanation:

A perfect square is a number that can be expressed as the product of two equal integers.

The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.

Try these steps first:

  • A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.
  • Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
  • All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Step:-1

What is the last number of 90,000?

The answer is 0. Is 0 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 0 is not in the list of numbers that are never perfect squares.

Step:-2

Split the number up and add each digit together:

9 + 0 + 0 + 0 + 0 = Answer =>9

Step:-3

we know the digital root of 90,000 is 9

Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 90,000 could be a perfect square!

Factoring

OK, so now we know that 90,000 could be a perfect square. We have to find the factors of the number to be sure.

Here's the proof: 300 x 300 = 90,000

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