Is 1,225 a Perfect Square?

Yes, 1,225 is a perfect square.

Quick math

  • √1,225 = 35
  • 35 × 35 = 1,225
  • 1,225 = 52 × 72
Perfect square
Yes
Square root
35
Prime factorization
5² × 7²
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Is 1,225 a Perfect Square?

Yes, 1,225 is a perfect square. 35 × 35 = 1,225.

Handwritten notebook page checking whether 1,225 is a perfect square
1,225 = 35 × 35, so 1,225 is a perfect square.

Step 1: The Square Root of 1,225

√1,225 = 35. A whole-number root means a perfect square.

Step 2: Prime Factorization

1,225 = 5² × 7². Every exponent is even, which is another way to see a perfect square.

Step 3: Simplest Radical Form

√1,225 = 35. There is nothing left under the root.

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Is 1,225 a Perfect Square?: FAQs

Is 1,225 a perfect square?

Yes. 35 × 35 = 1,225, so 1,225 is the square of the whole number 35.

What is the square root of 1,225?

The square root of 1,225 is 35.

How do you check if 1,225 is a perfect square using prime factors?

Write 1,225 as 5² × 7². Every exponent is even, so the primes pair up and 1,225 is a perfect square.

What is the next perfect square after 1,225?

The next perfect square after 1,225 is 36² = 1,296.

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