In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

$straight u squared equals 17 over 4$

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

straight u squared equals 17 over 4

straight u squared equals 17 over 4

rightwards double arrow straight u space equals space square root of 17 over 4 end root

rightwards double arrow straight u space equals space square root of 17 over 4 end root

rightwards double arrow space straight u space equals fraction numerator square root of 17 over denominator 2 end fraction rightwards double arrow straight u space equals 1 half cross times square root of 17

because space space 1 half space left parenthesis not equal to 0 right parenthesis

is a rational number and

square root of 17

is an irrational number.

therefore

1 half space left parenthesis not equal to 0 right parenthesis

is a rational number and

square root of 17

is an number irrational number.

therefore space space space space 1 half space cross times square root of 17

is an irrational number.

because

The product of a non-zero rational number with an irrational number is irrational.

therefore

u is an irratinal number.

For Daily Free Study Material Join wiredfaculty