169 Square Root

What is square root of 169?

Expert Answers
embizze eNotes educator| Certified Educator

The square root of 169 is 13.

This is so because 13 times 13 gives 169 -- the definition of a square root of a number k is the number such that when you multiply it by itself you get k.

Note that this is a different question than solve `x^2=169 ` , as this question has two answers; both 13 and -13. 13 is the principal root.

 

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jess1999 | Student

To find the square root of 169, we have to find numbers that can multiply with each other to form 169. For example the square root of 4 is 2 because 2 X 2 = 4. Another example could to find the square root of 36. The square root of 36 is 6 because 6 X 6 = 36

Now to find the square root of 169 we would have to do the same thing as we did above. Since we know that 10 X 10 = 100 we would have to pick a number bigger than 10 . Also, we know that 20 X 20 = 400 so it has to be less than 20. So a number between 10 and 20. Now we can try 11. 11 X 11= 121 (that doesn't work) 12 X 12 = 144 (that doesn't work) 13 X 13 = 169 (that works)

So your answer is 13.

rachellopez | Student

A square root of a number is a value that can be multiplied by itself to give the original number.

To find the square root of 169, you have to find a number that can be multiplied by itself in order to get the number 169 as the product. 13 * 13 or 13^2 will give you 169. Also, when 2 negative numbers are multiplied together, you get a positive number. This means -13 would work as well. This makes + or - 13 the square root of 169.

ahmedrehan | Student

13 x 13 = 169 

hence , the square root of 169 is 13 .

shibawonga | Student

There are two answers to your question. Essentially, the square of a number is a number multiplied by itself. So to break your question down in simple terms: "what number multiplied itself is equal to 169?" The answer is 13 and negative 13.

Quick tip: you can tell how many solutions an expression has is equal to the value of the highest exponent within the expression.

mmenon | Student

To square a number is to multiply the number by itself. For example, the square of `5` is `5*5` or `5^2` which is equal to `25` .

The square root is the opposite of that. The number, for example x, inside the square root,`sqrt(x)` ,will be the square of a number.
Using the example above, the square root of 25 is 5.
`5^2=25`
`sqrt(25) =5`

So for 169, we'll need to find a number who's square is equal to 169. That number is 13. Therefore the square root of 169 is 13.
`13^2=169`

`sqrt(169)=13`

alejandrogalarce | Student

13 * 13 = 169

julietran | Student

13x13 = 169

Therefore, the square root of 169 is 13.

malkaam | Student

Square is when a number is multiplied by itself such that `7^2 is 7*7 = 49`

We can say that the square root of 49 is 7 as shown above. The symbol for square root is `sqrt(x)` or as shown in the above example `sqrt(49)` , the answer to which is 7.

The square root of 169 is 13 i.e 13*13=169.

`sqrt(169) = 13` 

Also the square of 2 negative numbers results in a positive number, for example `-13^2 = 169`

sid-sarfraz | Student

The number of which we have to find square root basically means dividing the number by two since its square root. But keeping one thing in mind that  the answer must be a whole number.

So, the square root of 169 is;

(169/2)  

Hence the answer is 13...