What is the square root of 16?

The square root of 16 is 4. 16 = 4 squared, so sqrt(16) = 4 exactly. Verify: 4 x 4 = 16.

Is 16 a perfect square?

Yes. 16 = 4 squared, so sqrt(16) = 4 exactly.

How do you simplify sqrt(16)?

sqrt(16) = 4 (already fully simplified — it is an integer).

What is sqrt(16) squared?

(sqrt(16)) squared = 16. This follows from the definition: sqrt(n) is the number that when squared gives n. So (sqrt(16)) squared = 16 always.

What is the difference between square root and squaring?

Squaring 16: 16 squared = 256 (multiply 16 by itself). Square root of 16: sqrt(16) = 4 approximately 4.0000. They are inverse operations: sqrt(16) squared = 16 and sqrt(16 squared) = 16 (for non-negative numbers).

Square Root of 16 — sqrt(16) = 4

The square root of 16 is 4. 16 is a perfect square (4 squared = 16), so its square root is the exact integer 4. This page shows the exact value, simplified radical, decimal to 20 places, prime factorisation, and a visual number line....

√16 = ?

SQUARE ROOT OF 16

Exact — 16 is a perfect square (4² = 16)

Exact form

Decimal (4dp)

4.0000

Decimal (10dp)

4.0000000000

Is perfect sq?

Yes ✓

√16 ²

16 ✓

Between

4 (exact)

STEP-BY-STEP

Find a number that multiplied by itself equals 16

4 × 4 = 16 ✓

√16 = 4 (exact)

FUN FACT

sqrt(16)=4, a perfect square. 16=4 squared=2 to the 4th power. The square root of 256 is also 16.

NUMBER LINE (√16 ≈ 4.0000)

√16

SQUARE WITH AREA = 16

Area = 16

√16

≈ 4.000

√16 ≈ 4.000

NEARBY PERFECT SQUARES

√4= 22² = 4

√9= 33² = 9

√16= 44² = 16you are here

√25= 55² = 25

√36= 66² = 36

√49= 77² = 49

SQUARE ROOT LAWS

√16 × √16= 16

(√16)²= 16

√(16 × 4)= 2√16 ≈ 8.0000

√(16/4)= √16/2 ≈ 2.0000

√16 × √17≈ 16.4924

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HOW TO CALCULATE

1
16 is a perfect square: 4 x 4 = 16. Perfect squares always have exact integer square roots.
2
Verify: 4 squared = 16. The square root of 16 is exactly 4.
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(16) x sqrt(16) = 16 and (sqrt(16)) squared = 16. Both confirm the answer is 4.

WORKED EXAMPLE

sqrt(16): perfect square, 4 squared = 16. sqrt(16) = 4 (exact).

FREQUENTLY ASKED QUESTIONS

OTHER SQUARE ROOTS

√1 √2 √3 √4 √5 √6 √7 √8 √9 √10 √11 √12 √13 √14 √15 √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.