Square Root of 121 Simplified

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What is the square root of 121 simplified?

Answer

√121 = 11

121 is a perfect square — 121 = 11², so no radical remains: √121 = 11.

Simplifying √121 Step by Step

1. Prime factorization. — All Prime Factors of 121:

121 = 11 × 11 = 112

2. Pair up equal primes. Each pair is a perfect square and comes out of the root as one factor; a prime without a partner stays under the radical.

Prime factorTimes in 121Comes out of the rootStays under the root
11211—

3. Take the pairs out of the root.

√121 = √(11 × 11)

= 11

4. Check by squaring back.

11² = 11 × 11 = 121

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This calculator writes a square root in simplest radical form: it finds the largest perfect square that divides the number, takes its root out of the radical and leaves the rest under it. For example, it can help you find out what is the square root of 121 simplified? (The answer is: 11). Enter a whole number (e.g. '121') and hit the 'Simplify' button.
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Simplified Square Roots Table

NumberSimplest radical formDecimal value
106√106≈ 10.296
107√107≈ 10.344
1086√3≈ 10.392
109√109≈ 10.44
110√110≈ 10.488
111√111≈ 10.536
1124√7≈ 10.583
113√113≈ 10.63
114√114≈ 10.677
115√115≈ 10.724
1162√29≈ 10.77
1173√13≈ 10.817
118√118≈ 10.863
119√119≈ 10.909
1202√30≈ 10.954
1211111
122√122≈ 11.045
123√123≈ 11.091
1242√31≈ 11.136
1255√5≈ 11.18
1263√14≈ 11.225
127√127≈ 11.269
1288√2≈ 11.314
129√129≈ 11.358
130√130≈ 11.402
131√131≈ 11.446
1322√33≈ 11.489
133√133≈ 11.533
134√134≈ 11.576
1353√15≈ 11.619

FAQ

What is the square root of 121 simplified?

√121 = 11

Is 121 a perfect square?

Yes: 121 = 11², so √121 = 11 exactly and nothing stays under the radical.

What is √121 as a decimal?

√121 = 11 exactly — a whole number, because 121 is a perfect square.

What is the largest perfect square that divides 121?

121 itself: it is 11², so √121 = 11.

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