the expression has a value closest to 1 is √37 - √26 (option C)
Step-by-step explanation:
To determine the expression, we need to solve each of the options.
a) 7π/√10 = 7(3.14) /√10 = 21.98/3.1623
= 6.95
b) √75 - √74 = 8.66 - 8.60
= 0.06
c) √37 - √26 = 6.083 - 5.099
= 0.984
d) (3√5 - √20)/√2 = (6.708 - 4.472)/1.414 = 2.236/1.414
= 1.58
√37 - √26 = 0.984 is closest to 1
From the above, the expression has a value closest to 1 is √37 - √26 (option C)