sqrt(100)
factor under the radical
sqrt(52 * 4)
bring out the 5
5sqrt(4)
========or, this way
sqrt(52 * 22)
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The principal square root of 100 is 10.
square root of 200 = 10 * square root of 2. Also, the number 2 when multilied by 100 = 200!
It is sqrt[100*sqrt(2)] = 10*fourth root of 2.
sqrt(900) = sqrt(100 x 9) = sqrt(100) x sqrt(9) = 10 x 3 = 30
A small number at the upper left of a radical sign means, what root you want to take. If there is no number, the number "2" is assumed (square root), meaning, "What number must I reais to the power 2, to get the number in the radical sign?" For example, the square root (or 2nd. root) of 100 is 10, since 10 to the power 2 = 100. As another example, the cubic root (3rd. root) of 125 is 5, since 5 to the power 3 = 125.