What is the square root of 29?

The square root of 29 is sqrt29. In decimal: sqrt(29) approximately 5.3851648071 This is irrational — the decimal never terminates or repeats. sqrt(29)=5.38516... is irrational. 29 is prime. Part of the (20,21,29) Pythagorean triple.

Is 29 a perfect square?

No. 29 is not a perfect square. 5 squared = 25 and 6 squared = 36. Since 29 falls between these, sqrt(29) is not an integer. Nearest perfect squares: 25 (= 5 squared) and 36 (= 6 squared).

How do you simplify sqrt(29)?

sqrt(29) simplifies to sqrt29. Method: prime factorisation of 29 = 29. Since no factor repeats, sqrt(29) cannot be simplified further.

What is sqrt(29) squared?

(sqrt(29)) squared = 29. This follows from the definition: sqrt(n) is the number that when squared gives n. So (sqrt(29)) squared = 29 always.

What is the difference between square root and squaring?

Squaring 29: 29 squared = 841 (multiply 29 by itself). Square root of 29: sqrt(29) = sqrt29 approximately 5.3852. They are inverse operations: sqrt(29) squared = 29 and sqrt(29 squared) = 29 (for non-negative numbers).

Square Root of 29 — sqrt(29) = sqrt29

The square root of 29 is sqrt29. In decimal form, sqrt(29) approximately 5.385165 (irrational). This page shows the exact value, simplified radical, decimal to 20 places, prime factorisation, and a visual number line....

√29 = ?

SQUARE ROOT OF 29

√29

≈ 5.3851648071

Irrational — cannot be expressed as a fraction

Exact form

√29

Decimal (4dp)

5.3852

Decimal (10dp)

5.3851648071

Is perfect sq?

√29 ²

29 ✓

Between

5 and 6

DECIMAL PRECISION

√29 ≈ 5.3851648071

STEP-BY-STEP

Prime factorisation: 29 = 29

Simplified radical form: √29

5² = 25 < 29 < 36 = 6² → lies between 5 and 6

√29 ≈ 5.3851648071...

FUN FACT

sqrt(29)=5.38516... is irrational. 29 is prime. Part of the (20,21,29) Pythagorean triple.

NUMBER LINE (√29 ≈ 5.3852)

√29

SQUARE WITH AREA = 29

Area = 29

√29

≈ 5.385

√29 ≈ 5.385

NEARBY PERFECT SQUARES

√9= 33² = 9

√16= 44² = 16

√25= 55² = 25

√36= 66² = 36

√49= 77² = 49

√64= 88² = 64

SQUARE ROOT LAWS

√29 × √29= 29

(√29)²= 29

√(29 × 4)= 2√29 ≈ 10.7703

√(29/4)= √29/2 ≈ 2.6926

√29 × √30≈ 29.4958

Created with❤️byeaglecalculator.com

HOW TO CALCULATE

1
Find the prime factorisation of 29: 29 = 29. Check for repeated prime factors.
2
Simplify: pull out any pairs of identical prime factors. Result: sqrt29. Since no factor repeats, it cannot be simplified further.
3
Locate sqrt(29) between integers: 5 squared = 25 and 6 squared = 36. Since 25 < 29 < 36, sqrt(29) lies between 5 and 6.
4
Calculate decimal: sqrt(29) approximately 5.3851648071. Verify by squaring: (5.385165) squared approximately 29.0 = 29.

WORKED EXAMPLE

sqrt(29): not a perfect square. Factorisation: 29 = 29. Simplified: sqrt29. Decimal: sqrt(29) approximately 5.3851648071.

FREQUENTLY ASKED QUESTIONS

OTHER SQUARE ROOTS

√1 √2 √3 √4 √5 √6 √7 √8 √9 √10 √11 √12 √13 √14 √15 √16 √17 √18 √19 √20 √21 √22 √23 √24 √25 √26 √27 √28 √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.