What is the square root of 4?

The square root of 4 is 2. 4 = 2 squared, so sqrt(4) = 2 exactly. Verify: 2 x 2 = 4.

Is 4 a perfect square?

Yes. 4 = 2 squared, so sqrt(4) = 2 exactly.

How do you simplify sqrt(4)?

sqrt(4) = 2 (already fully simplified — it is an integer).

What is sqrt(4) squared?

(sqrt(4)) squared = 4. This follows from the definition: sqrt(n) is the number that when squared gives n. So (sqrt(4)) squared = 4 always.

What is the difference between square root and squaring?

Squaring 4: 4 squared = 16 (multiply 4 by itself). Square root of 4: sqrt(4) = 2 approximately 2.0000. They are inverse operations: sqrt(4) squared = 4 and sqrt(4 squared) = 4 (for non-negative numbers).

Square Root of 4 — sqrt(4) = 2

The square root of 4 is 2. 4 is a perfect square (2 squared = 4), so its square root is the exact integer 2. This page shows the exact value, simplified radical, decimal to 20 places, prime factorisation, and a visual number line....

√4 = ?

SQUARE ROOT OF 4

Exact — 4 is a perfect square (2² = 4)

Exact form

Decimal (4dp)

2.0000

Decimal (10dp)

2.0000000000

Is perfect sq?

Yes ✓

√4 ²

4 ✓

Between

2 (exact)

STEP-BY-STEP

Find a number that multiplied by itself equals 4

2 × 2 = 4 ✓

√4 = 2 (exact)

FUN FACT

sqrt(4)=2, a perfect square. 4 is the only number equal to both 2 squared and 2+2.

NUMBER LINE (√4 ≈ 2.0000)

√4

SQUARE WITH AREA = 4

Area = 4

√4

≈ 2.000

√4 ≈ 2.000

NEARBY PERFECT SQUARES

√1= 11² = 1

√4= 22² = 4you are here

√9= 33² = 9

√16= 44² = 16

√25= 55² = 25

SQUARE ROOT LAWS

√4 × √4= 4

(√4)²= 4

√(4 × 4)= 2√4 ≈ 4.0000

√(4/4)= √4/2 ≈ 1.0000

√4 × √5≈ 4.4721

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HOW TO CALCULATE

1
4 is a perfect square: 2 x 2 = 4. Perfect squares always have exact integer square roots.
2
Verify: 2 squared = 4. The square root of 4 is exactly 2.
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(4) x sqrt(4) = 4 and (sqrt(4)) squared = 4. Both confirm the answer is 2.

WORKED EXAMPLE

sqrt(4): perfect square, 2 squared = 4. sqrt(4) = 2 (exact).

FREQUENTLY ASKED QUESTIONS

OTHER SQUARE ROOTS

√1 √2 √3 √5 √6 √7 √8 √9 √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.