# FAQ: What Is The Square Root Of 289?

## How do you find the square root of 289?

To find the square root of 289: We can use prime factorization method to obtain one number from each pair of the same numbers and multiply them. The factorization of 289 is 17 × 17 which consists of 1 pair of the same number, 17. Thus, the square root of 289 is √(17 × 17) = 17 itself.

## IS 289 a perfect cube?

The value of cube root of one is 289. The nearest previous perfect cube is 216 and the nearest next perfect cube is 343. Cube root of 289 can be represented as 3√ 289.

## What are the positive and negative square roots of 289?

Definition of square root For example, 17 is the square root of 289 because 172 = 17•17 = 289, -17 is square root of 289 because (-17)2 = (-17)•(-17) = 289.

## Is 289 square of any number?

289 is a perfect square. Because 17 * 17 = 289.

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## What are the factors of 289?

Factors of 289

• Factors of 289: 1, 17, and 289.
• Prime Factorization of 289: 289 = 172

## IS 400 a perfect square?

400 is a perfect square. Because 20 * 20 = 400.

## Is 35 a perfect square?

A: No, the number 35 is not a perfect square.

## IS 150 a perfect square?

A: No, the number 150 is not a perfect square.

## What is a square root of 69?

Square Root Table 1-100

number square square root
69 4,761 8.307
70 4,900 8.367
71 5,041 8.426
72 5,184 8.485

## What is the short trick to find square root?

Shortcut to find the square root of any 6 digit number

1. We find that nearest square to the first group (1267)is 1225 and√1225=35.
2. ten’s place digit of original number>Multiplication result.
3. So we need to select the greater number (6) as the unit’s place digit of the square root.
4. Unit’s place digit =6.
5. Ans:√126736=356.

## What are the positive and negative square roots of 256?

The square root of 256 refers to that number which when multiplied with itself will give the result as 256. -16 × -16 = 256. Thus, -16 is the negative root of 256.

## What are the positive and negative square roots of 225?

The positive square root of 225 is 15 because 152 = 225. However, -15 is also a square root of 225 because (-15)2 = 225 too.

## What are the positive and negative square roots of 4?

But the roots could be positive or negative or we can say there are always two roots for any given number. Hence, root 4 is equal to ±2 or +2 and -2 ( positive 2 and negative 2). You can also find square root on a calculator. Square Root From 1 to 50.

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Number Square Root Value
4 2
5 2.236
6 2.449
7 2.646 