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2. What is the square root of 169? - Socratic

   socratic.org/questions/what-is-the-square-root-of-169

   #x^2 = 169# It is a huge advantage in your Maths to know all the squares up to #20^2# by heart. #12^2 =144# #13^2 = 169# Bu estimating.... #10^2 = 100 and 20^2 = 400# So, #sqrt169# lies between 10 and 20. If you find it by estimating, the number 9 at the end means that the square root must end in a 3 or a 7. The only options are #13^2 and 17^2#

3. What is the square root of 1/169? - Socratic

   socratic.org/questions/what-is-the-square-root-of-1-169

   The square root of 1 is 1, so we only need to worry about the square root of the denominator. Luckily, 169 is a perfect square of 13 #(13^2=169 hArr sqrt(169)=13)# : #1/sqrt(169)=1/13#

4. What is the square root of 9/169? - Socratic

   socratic.org/questions/what-is-the-square-root-of-9-169

   3/13 Given: sqrt(9/169) =(sqrt9)/(sqrt169) =(sqrt3^2)/(sqrt13^2) =+-3/13 From here, I will only take the principal square root, which will be, =3/13

5. What is the square root of 144/169? - Socratic

   socratic.org/questions/what-is-the-squared-root-of-144-169

   12/13 or 0.923 We can write this as: sqrt(144/169) This is the same thing as taking the square root of the numerator and the denominator, then dividing: sqrt(144)/sqrt(169) Square root of 144=12 Square root of 169=13 =12/13 In decimals, it is: ~~0.923 Thus, we have our answer.

6. Is the square root 169 rational, irrational, or imaginary?

   socratic.org/questions/is-the-square-root-169-rational-irrational-or-imaginary

   Rational 169 = 13 " squared " (13^2), So square rooting the number: sqrt169 = 13. So, it is rational.

7. What is the square root of 169 + 25? - Socratic

   socratic.org/questions/what-is-the-square-root-of-169-25

   sqrt194 = 13.93 "The square root of 169 + 25" is the same as: sqrt(169 + 25) sqrt194 This cannot be factored out, so the simplest form is: sqrt194 Or, you can use your calculator to find the value of this expression, which is: sqrt194 = 13.93

8. How do you simplify the square root #sqrt(169/196)#? - Socratic

   socratic.org/questions/how-do-you-simplify-the-square-root-sqrt-169-196

   How do you simplify the square root #sqrt(169/196)#? Prealgebra Exponents, Radicals and Scientific Notation Square Root. 1 Answer

9. What is the square root of 64/169? - Socratic

   socratic.org/questions/what-is-the-square-root-of-64-169

   8/13 We take the square root of the top and bottom of the fraction. sqrt(64/169)=(sqrt64)/sqrt169 =8/13

10. What is #\sqrt{\frac{36}{169}}#? - Socratic

    socratic.org/questions/what-is-sqrt-frac-36-169

    You might recognise that 36 and 169 are both 'square' numbers, formed by multiplying a number by itself. #6xx6 =6^2 = 36# We can also say #sqrt36 =6# # 13xx13 =13^2 = 169# This means that #sqrt169 = 13# We have: #sqrt(36/169)# Although square roots often act like brackets, in this case you do not have to work out the answer to #36/169# first

11. What is the square root of 169 - Socratic

    socratic.org/questions/what-is-the-square-root-of-169-square-root-of-50-the...

    So we can rewrite that root as 13, as 169 is a perfect square. sqrt169 - sqrt50 - sqrt8 = 13 - sqrt50 - sqrt8 For 50, the obvious instinct is say that it's 5 * 10 but since 10 isn't a prime number, but rather the product of two primes (5 and 2) we can further rewrite it to say 50 = 5^2 * 2. Which is true, after all 25 + 25 = 50.