Answer:
A.The answer four square root of two plus ten is irrational because the sum of a rational number and irrational number is an irrational number.
Step-by-step explanation:
Given the question as 4√2 + 5√4 the sum is
4√2 + 5*√4
4√2 + 5*2
4√2 + 10
Putting an irrational number in decimal form, it goes on forever without repeating.
4*√2 +10 = 4× 1.41421356237 +10
=15.6568542495----------------which irrational
Addd 4 to both sides

sqare both sides
x+9=25
minus 9 both sides
x=16
plug it in for x and see



1=1
true
not extraneous
an extraneous root would be x=-34
140 1/8 can not be expressed in radical form because it neither has an exponent or a square root. Unless if 140 is raised to the power of 1/8, then that can be.
I haven't done this kind of work in a bit, but I believe it's 8.