What is the square root of 25?

The square root of 25 is 5. 25 = 5 squared, so sqrt(25) = 5 exactly. Verify: 5 x 5 = 25.

Is 25 a perfect square?

Yes. 25 = 5 squared, so sqrt(25) = 5 exactly.

How do you simplify sqrt(25)?

sqrt(25) = 5 (already fully simplified — it is an integer).

What is sqrt(25) squared?

(sqrt(25)) squared = 25. This follows from the definition: sqrt(n) is the number that when squared gives n. So (sqrt(25)) squared = 25 always.

What is the difference between square root and squaring?

Squaring 25: 25 squared = 625 (multiply 25 by itself). Square root of 25: sqrt(25) = 5 approximately 5.0000. They are inverse operations: sqrt(25) squared = 25 and sqrt(25 squared) = 25 (for non-negative numbers).

Square Root of 25 — sqrt(25) = 5

The square root of 25 is 5. 25 is a perfect square (5 squared = 25), so its square root is the exact integer 5. This page shows the exact value, simplified radical, decimal to 20 places, prime factorisation, and a visual number line....

√25 = ?

SQUARE ROOT OF 25

Exact — 25 is a perfect square (5² = 25)

Exact form

Decimal (4dp)

5.0000

Decimal (10dp)

5.0000000000

Is perfect sq?

Yes ✓

√25 ²

25 ✓

Between

5 (exact)

STEP-BY-STEP

Find a number that multiplied by itself equals 25

5 × 5 = 25 ✓

√25 = 5 (exact)

FUN FACT

sqrt(25)=5, a perfect square. 25=5 squared. Appears in Pythagorean triples (3,4,5) scaled by 5 and (5,12,13).

NUMBER LINE (√25 ≈ 5.0000)

√25

SQUARE WITH AREA = 25

Area = 25

√25

≈ 5.000

√25 ≈ 5.000

NEARBY PERFECT SQUARES

√9= 33² = 9

√16= 44² = 16

√25= 55² = 25you are here

√36= 66² = 36

√49= 77² = 49

√64= 88² = 64

SQUARE ROOT LAWS

√25 × √25= 25

(√25)²= 25

√(25 × 4)= 2√25 ≈ 10.0000

√(25/4)= √25/2 ≈ 2.5000

√25 × √26≈ 25.4951

Created with❤️byeaglecalculator.com

HOW TO CALCULATE

1
25 is a perfect square: 5 x 5 = 25. Perfect squares always have exact integer square roots.
2
Verify: 5 squared = 25. The square root of 25 is exactly 5.
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(25) x sqrt(25) = 25 and (sqrt(25)) squared = 25. Both confirm the answer is 5.

WORKED EXAMPLE

sqrt(25): perfect square, 5 squared = 25. sqrt(25) = 5 (exact).

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 √26 √27 √28 √29 √30

Bold bordered = perfect squares (exact integer result)

RELATED CALCULATORS

Cube Root of 9

Calculate instantly →

Cube Root of 14

Calculate instantly →

30 Times Table

Calculate instantly →

9 Times Table

Calculate instantly →

MORE ALGEBRA CALCULATORS

23 Times Table

Calculate instantly →

24 Times Table

Calculate instantly →

Quadratic Equation Solver

Calculate instantly →

Logarithm Calculator

Calculate instantly →

Fraction Calculator

Calculate instantly →

Fraction Simplifier

Calculate instantly →

Linear Equation Solver

Calculate instantly →

25 Times Table

Calculate instantly →

26 Times Table

Calculate instantly →

27 Times Table

Calculate instantly →

Simultaneous Equations Solver (2×2)

Calculate instantly →

28 Times Table

Calculate instantly →

Exponent Calculator

Calculate instantly →

29 Times Table

Calculate instantly →

30 Times Table

Calculate instantly →

Times Tables Mega Calculator

Calculate instantly →

Square Root of 10

Calculate instantly →

Square Root of 1

Calculate instantly →

Square Root Mega

Calculate instantly →

Square Root of 22

Calculate instantly →

Was this calculator helpful?

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