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The square root of any real number is the unique positive number which when squared (multiplied by itself) gives you back that real number. #3# is the square root of #9# because #3*3=9# Answer link
Algebra Properties of Real Numbers Square Roots and Irrational Numbers. 1 Answer . Deepak G.
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
The principal square root of minus one is i. It has another square root -i. I really dislike the expression "the square root of minus one". Like all non-zero numbers, -1 has two square roots, which we call i and -i. If x is a Real number then x^2 >= 0, so we need to look beyond the Real numbers to find a square root of -1. Complex numbers can be thought of as an extension of Real numbers from ...
When you square root a fraction, both the numerator and denominator get square rooted. #sqrt(8/9)#
When you have a root (square root for example) in the denominator of a fraction you can "remove" it multiplying and dividing the fraction for the same quantity. The idea is to avoid an irrational number in the denominator. Consider: #3/sqrt2# you can remove the square root multiplying and dividing by #sqrt2#; #3/sqrt2*sqrt2/sqrt2#
You take the square root of the denominator and of the numerator. Start by writing out your initial expression sqrt(4/9) If you use the quotient property of radicals, you can write this expression as sqrt(4/9) = sqrt(4)/sqrt(9) Now, sicne both 4 and 9 are perfect squares 4 = 2 * 2 - 2""^2 9 = 3 * 3 = 3""^2 all you have to do is take the square root of both these numbers to get sqrt(4)/sqrt(9 ...
#sqrt(9^(16x^2)) = [9^(16x^2)]^(1/2) = 9^(16x^2 * 1/2) = 9^(8x^2)# Since you know that #9 = 3^2#, you can rewrite this as #9^(8x^2) = (3^2)^(8x^2) = 3^(16x^2)# Another approach you can use is . #sqrt(9^(16x^2)) = sqrt((9^(8x^2))^2) = 9^(8x^2) = 3^(16x^2)# Alternatively, you can also use
3sqrt(0.1)~~0.94868329805 The square root is an irrational number, so you won't be able to get an exact answer for that. But I guess you can simplify it instead. sqrt(0.9) =sqrt(9*0.1) =3sqrt(0.1) Or, if you want a more exact answer, you can use a calculator to get an approximate square root. sqrt(0.9)~~0.94868329805
The square root of 9 is 3. This is because 32 equals 9. Square root of 18 in radical form? the square root of 18 can be simplified to 3 * the square root of 2.The perfect square 9 is a factor of 18.