sqrt(42x)
Which value of x will NOT further simplify the expression
A)35
B) 23
C) 15
D) 38
sqrt(42x)
Which value of x will NOT further simplify the expression
A)35
B) 23
C) 15
D) 38
42 = 2*3*7, these are the Prime factors of 42. The other factorisations are formed by grouping these prime factors: 6*7, 14*3, 21*2
Take A)35 for example
35 = 5*7
42 and 35 have 7 as a common divisor. So, for x=35 the expression would be:
sqrt(42 * 35) = sqrt(6 * 7 * 5 * 7) or sqrt(7² * 30) =
sqrt(49 * 30) = 7 * sqrt(30)
which would be the simplified form.
The only number in the given list, which has no divisor with 42 in common, is 23. So,
B)23
is your answer.