What is the square root of 9?

The square root of 9 is 3. 9 = 3 squared, so sqrt(9) = 3 exactly. Verify: 3 x 3 = 9.

Is 9 a perfect square?

Yes. 9 = 3 squared, so sqrt(9) = 3 exactly.

How do you simplify sqrt(9)?

sqrt(9) = 3 (already fully simplified — it is an integer).

What is sqrt(9) squared?

(sqrt(9)) squared = 9. This follows from the definition: sqrt(n) is the number that when squared gives n. So (sqrt(9)) squared = 9 always.

What is the difference between square root and squaring?

Squaring 9: 9 squared = 81 (multiply 9 by itself). Square root of 9: sqrt(9) = 3 approximately 3.0000. They are inverse operations: sqrt(9) squared = 9 and sqrt(9 squared) = 9 (for non-negative numbers).

Square Root of 9 — sqrt(9) = 3

The square root of 9 is 3. 9 is a perfect square (3 squared = 9), so its square root is the exact integer 3. This page shows the exact value, simplified radical, decimal to 20 places, prime factorisation, and a visual number line....

√9 = ?

SQUARE ROOT OF 9

Exact — 9 is a perfect square (3² = 9)

Exact form

Decimal (4dp)

3.0000

Decimal (10dp)

3.0000000000

Is perfect sq?

Yes ✓

√9 ²

9 ✓

Between

3 (exact)

STEP-BY-STEP

Find a number that multiplied by itself equals 9

3 × 3 = 9 ✓

√9 = 3 (exact)

FUN FACT

sqrt(9)=3, a perfect square. 9=3 squared. Appears in the Pythagorean triple (3,4,5): 3 squared+4 squared=5 squared.

NUMBER LINE (√9 ≈ 3.0000)

√9

SQUARE WITH AREA = 9

Area = 9

√9

≈ 3.000

√9 ≈ 3.000

NEARBY PERFECT SQUARES

√1= 11² = 1

√4= 22² = 4

√9= 33² = 9you are here

√16= 44² = 16

√25= 55² = 25

√36= 66² = 36

SQUARE ROOT LAWS

√9 × √9= 9

(√9)²= 9

√(9 × 4)= 2√9 ≈ 6.0000

√(9/4)= √9/2 ≈ 1.5000

√9 × √10≈ 9.4868

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HOW TO CALCULATE

1
9 is a perfect square: 3 x 3 = 9. Perfect squares always have exact integer square roots.
2
Verify: 3 squared = 9. The square root of 9 is exactly 3.
3
Memorise the perfect squares: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256. These have exact integer square roots.
4
Check: sqrt(9) x sqrt(9) = 9 and (sqrt(9)) squared = 9. Both confirm the answer is 3.

WORKED EXAMPLE

sqrt(9): perfect square, 3 squared = 9. sqrt(9) = 3 (exact).

FREQUENTLY ASKED QUESTIONS

OTHER SQUARE ROOTS

√1 √2 √3 √4 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √16 √17 √18 √19 √20 √21 √22 √23 √24 √25 √26 √27 √28 √29 √30

Bold bordered = perfect squares (exact integer result)

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.