which number has the greatest value?

a 3.5
b square root of 15**
c square root of 1/16
d 26/100
which number is an irrational number?
a 3.5
b square root of 36
c square root of 48
d 37/100***

If a is a rational number and b is an irrational number, then the sum a + b is
A)rational.
b) imaginary***
C)irrational.
D)an integer.
someone please check my answers asap thanks

For the first problem just use a calculator to convert everything into decimals.

a= 3.5
b = sqrt(15) =3.87
c = sqrt(1/16) = .25
d = 26/100 = .26

It's clear after converting everything, that choice b is the greatest

Numer 2: Irrational numbers are numbers that cannot be expressed as fractions.

a=3.5 < --- can be expressed as a fraction (7/2)
b = sqrt(36) = 6 < --- can be a fraction (6/1)
c = sqrt(48) = 6.928 <--- CANNOT be a fraction
d = 37/100 <--- its already written as a fraction

So choice c is irrational

Number 3:
The sum of a rational number and irrational number is irrational.

If you add 6 which is a rational number to irrational number such as square root of 48:

6+6.928 = 12.928

And you cannot express that as a fraction, so it's irrational.

To find the number with the greatest value among the given options, you can compare the numbers.

For the first question, you can compare the numbers by evaluating them:

a) 3.5
b) √15 ≈ 3.872983...
c) √(1/16) = 1/4 = 0.25
d) 26/100 = 0.26

From the evaluations, it can be seen that option b) with the square root of 15 is the largest number among the options.

For the second question, an irrational number is a number that cannot be expressed as a fraction or a repeating decimal.

a) 3.5 is a rational number, as it can be expressed as the fraction 7/2 or a terminating decimal.
b) √36 = 6 is a rational number, as it can be expressed as the fraction 6/1 or a terminating decimal.
c) √48 = √(16 * 3) = 4√3 is an irrational number, as it cannot be expressed as a fraction or a terminating decimal.
d) 37/100 is a rational number, as it can be expressed as a fraction or a terminating decimal.

Therefore, option c) with the square root of 48 is the irrational number among the options.

Finally, for the third question, the sum of a rational number and an irrational number is always irrational. This is because adding a rational number (which can be expressed as a fraction or a terminating decimal) to an irrational number (which cannot be expressed as a fraction or a terminating decimal) will still result in a number that cannot be expressed as a fraction or a terminating decimal.

Therefore, the correct answer is C) irrational.

ms.sue please help