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42 mathematical radical number
1. The area of a rectangle with a length of 96cm and a width of 12cm = 96 *12 =1152cm2. Therefore, a 2 =1152a =1152 = 24× root number 2 cm.

2. > under the root sign; =0 makes sense.

( 1)3-x & gt; =0,x & lt=3

(2)2x- 1 & gt; 0, because it is on the denominator, it cannot be 0.x >; 0.5

3. 500 under root number (1) =100 under root number 5 * =10× root number 5.

(2) Under the root number 12x = under the root number 4 * = 2x (root number 3x)

(3) 4 under radical number and 2/3 =( 14/3) under radical number = (42/9) under radical number = (42)/ (9)= (42)/3.

(4) Two-thirds of 3a square under the root sign.

= (root number 2)/ the square of 3a under the root number

= (root number 2)/(absolute value of 3a)

The absolute value is taken because we don't know whether 3a is positive or negative.