Question

rationalising factor of 2√3-5√2​

Answer 1

Answer:

(2+

3

+

5

)(2+

3

−

5

)=(2+

3

)

2

−(

5

)

2

=4+3+4

3

−5=7+4

3

−5

=2+4

3

=2(1+2

3

)

Now, conjugate of factor 1+2

3

is 1−2

3

=(1+2

3

)(1−2

3

)=1

2

−(2

3

)

2

=1−4×3=−11

∴(2+

3

+

5

)(2+

3

−

5

)(1−2

3

)

=2(1+2

3

)(1−2

3

)

=2(1

2

−(2

3

)

2

)=2(1−12)=−22,which is rational

Hence, (2+

3

−

5

)(1−2

3

) is the simplest rationalising factor of 2+

3

+

5

Answer 2

Concept Introduction: Rationalising is the basic mathematics.

Given:

We have been Given:

$2 \sqrt{3} - 5 \sqrt{2}$

To Find:

We have to Find: Rationalising Factor of the given Equation.

Solution:

According to the problem, The Rationalising Factor of

$\sqrt{a} - \sqrt{b} = \sqrt{a} + \sqrt{b}$

therefore the Rationalising Factor of the given Equation will be,

$2 \sqrt{3} + 5 \sqrt{2}$

Final Answer: The Rationalising Factor of the given Equation is

$2 \sqrt{3} + 5 \sqrt{2}$

#SPJ2