√1 to √100 Examples | Square Root Chart

Square Root 1 to 100

Look up square roots from 1 to 100 and see which values are perfect squares.

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Conversion Formula

Square RootIf x times x = n, then x is the square root of n.
Perfect Square CheckA whole-number square root appears only when the number is a perfect square.

Conversion Examples

9 in the square-root listThe square root of 9 is 3 because 3 x 3 = 9. This is a clean perfect-square example.
16 in the square-root listThe square root of 16 is 4. It is another familiar exact root used in early algebra.
20 in the square-root listThe square root of 20 is about 4.472136. This shows how a non-perfect square still has a valid decimal root.
81 in the square-root listThe square root of 81 is 9. It is a larger exact example near the top of the range.

Square Root 1 to 100 Table

NumberSquare RootExact Root Note
111 x 1
21.414214Not a perfect square
31.732051Not a perfect square
422 x 2
52.236068Not a perfect square
62.44949Not a perfect square
72.645751Not a perfect square
82.828427Not a perfect square
933 x 3
103.162278Not a perfect square
113.316625Not a perfect square
123.464102Not a perfect square
133.605551Not a perfect square
143.741657Not a perfect square
153.872983Not a perfect square
1644 x 4
174.123106Not a perfect square
184.242641Not a perfect square
194.358899Not a perfect square
204.472136Not a perfect square
214.582576Not a perfect square
224.690416Not a perfect square
234.795832Not a perfect square
244.898979Not a perfect square
2555 x 5
265.09902Not a perfect square
275.196152Not a perfect square
285.291503Not a perfect square
295.385165Not a perfect square
305.477226Not a perfect square
315.567764Not a perfect square
325.656854Not a perfect square
335.744563Not a perfect square
345.830952Not a perfect square
355.91608Not a perfect square
3666 x 6
376.082763Not a perfect square
386.164414Not a perfect square
396.244998Not a perfect square
406.324555Not a perfect square
416.403124Not a perfect square
426.480741Not a perfect square
436.557439Not a perfect square
446.63325Not a perfect square
456.708204Not a perfect square
466.78233Not a perfect square
476.855655Not a perfect square
486.928203Not a perfect square
4977 x 7
507.071068Not a perfect square
517.141428Not a perfect square
527.211103Not a perfect square
537.28011Not a perfect square
547.348469Not a perfect square
557.416198Not a perfect square
567.483315Not a perfect square
577.549834Not a perfect square
587.615773Not a perfect square
597.681146Not a perfect square
607.745967Not a perfect square
617.81025Not a perfect square
627.874008Not a perfect square
637.937254Not a perfect square
6488 x 8
658.062258Not a perfect square
668.124038Not a perfect square
678.185353Not a perfect square
688.246211Not a perfect square
698.306624Not a perfect square
708.3666Not a perfect square
718.42615Not a perfect square
728.485281Not a perfect square
738.544004Not a perfect square
748.602325Not a perfect square
758.660254Not a perfect square
768.717798Not a perfect square
778.774964Not a perfect square
788.831761Not a perfect square
798.888194Not a perfect square
808.944272Not a perfect square
8199 x 9
829.055385Not a perfect square
839.110434Not a perfect square
849.165151Not a perfect square
859.219544Not a perfect square
869.273618Not a perfect square
879.327379Not a perfect square
889.380832Not a perfect square
899.433981Not a perfect square
909.486833Not a perfect square
919.539392Not a perfect square
929.591663Not a perfect square
939.643651Not a perfect square
949.69536Not a perfect square
959.746794Not a perfect square
969.797959Not a perfect square
979.848858Not a perfect square
989.899495Not a perfect square
999.949874Not a perfect square
1001010 x 10

Popular Conversions

What is Whole Number and Square Root?

Whole Number

Definition: A whole number is a non-fractional number such as 0, 1, 2, or 100.

History/origin: Whole numbers are the earliest counting values used in arithmetic and record keeping.

Current use: They are used in counting, indexing, labels, lists, and many basic math references.

Square Root

Definition: A square root is a value that, when multiplied by itself, gives the original number.

History/origin: Square roots have been studied since ancient mathematics as part of geometry and number theory.

Current use: They are used in geometry, algebra, measurement, and many formula-based calculations.

Related Number Reference Pages

These pages collect basic number forms that are useful for study, lookup, and quick reference.

Related ConversionFactor or RuleFormula
Numbers from 1 to 100name lookupword form = number name
Numbers to Roman numeralsRoman-symbol rulesRoman numeral = mapped symbol pattern
Square root 1 to 100sqrt(n)square root = value that squares to n
Number to nameword formbreak the number into place-value groups
Number to letterbase 26 labelletters = spreadsheet-style sequence
Number to scientific notationcoefficient x power of tenscientific notation = a x 10^n
Number to binarybase 2binary = decimal converted to powers of 2
Number to hexbase 16hex = decimal converted to powers of 16

Typical Use Cases

Flashcards and drillsLook up number names, Roman numerals, or square roots while studying basics.
Printable referencesUse the table as a quick list of common values from 1 to 100.
Classroom postersKeep a clean reference for reading numbers, roots, and numeral styles.
Everyday lookupCheck a familiar value quickly instead of rewriting the same list from memory.

Frequently Asked Questions

Q: What does square root mean?

A: The square root of a number is the value that multiplies by itself to give the original number.

Q: Why do some rows show an exact multiplication and others do not?

A: Only perfect squares have whole-number roots. Other values still have square roots, but the result is not a whole number.

Q: Why does 100 have a square root of 10?

A: Because 10 x 10 = 100. This is the largest perfect-square example within the listed range.

Q: Can I use decimals in this converter?

A: No. This converter is a 1-to-100 reference list, so it stays with whole numbers in that range.

Q: Why is this useful?

A: It is useful for geometry, algebra, quick mental checks, and classroom reference work.

Q: When should I use the table instead of the live field?

A: Use the table when you want to scan several nearby values quickly. Use the live field when you only need one number from the range.