The square root of 91 is an irrational number. This can be determined by showing that 91 is not a perfect square, meaning it cannot be expressed as the square of an integer. Since the square root of 91 cannot be simplified to a rational number, it is classified as irrational.
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The square root of 91 is not a rational number. the best way to express that number is by using the term the square root of 91 or 91^1/2 or sqrt(91) The answer, then, is 9.539 (approx).
NoSquare root of 91 = 9.53939201Not a whole number, therefore not a square number
9 and 10
91^(1/2) or 91^(0.5) To calculate mechanically. we note that 81^(1/2) = 9 and 100^(1/2) - 10 So the 91^(1/2) is between 9 and 10; Since '91' is approximately the mid-point between 81 & 100 , then try the mide point of 9 & 10 , which is 9.5 9.5 ^(2) = 90.25 So increase a little bit 90 9.51^2 = 90.440 9.52^(2) = 90.6304 9.54^2 = 91.011 Slightly too large so decrease the decimal 9.539^2 = 90.9925 9.5395^2 = 91.002 So the square root of 91 , to 2 d.p. is 9.5395.. 11
To simplify the square root of 91x, you need to factor out any perfect squares from the radicand. In this case, 91 is not a perfect square, but it can be factored into 7 and 13, both of which are prime numbers. Therefore, the square root of 91x cannot be simplified further and remains as sqrt(91x).