Question

find the value of a and b in 2/3=a+b√3 and give proper explanation of every step​

Answer 1

Step-by-step explanation:

Assume a and B as x and y.

Question:-

$\large \frac{ 2 }{ 3 } =x+y \sqrt{ 3 }$

Answer :-

$\large x=-\sqrt{3}y+\frac{2}{3}$

Answer 2

Answer:

This contradicts the fact that \sqrt{2}

2

is irrational. So, our assumption is not correct. Hence, \rm{ \: 3 + \sqrt{2} }3+

2

is an irrational number.

OTᕼᗴᖇ IᑎᖴOᖇᗰᗩTIOᑎ :-

IRRATIONAL :

A number is called rational if it cannot be expressed in the form p/q where p and q are integers ( q> 0) Example : √3,√2,√5,p etc.

Pythagoras Theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Using this theorem we can represent the irrational numbers on the number line.

They have non-terminating and non-repeating decimal expression

The sum, difference, multiplication and division of irrational numbers are not always irrational. Irrational numbers do not satisfy the closure property under addition, subtraction, multiplication and division.