Question

√10+√15/√2 Rationalise

Answer 1

Answer-

Why do we rationalise a denominator?

Rationalising is basically done to convert the root to whole number.

Given question:

Rationalise √10+√15/√2

Solution:

Numerator= √10+√15

Denominator= √2

Rationalising factor will be √2 since √2 multiplied by √2 is equal to 2 which is a whole number.

So, √10+√15/√2= √10+√15/√2 × √2/ √2

= √2(√10+√15)/ √2× √2

= √20 + √30 / 2

= 2√5+ √30/ 2

(√20= √2×2×5= 2√5)

So, the answer is 2√5+√30/ 2

Answer 2

Answer:

√10 Divided √5 − 2

=

√10 Divided √5 − 2 ⋅ √5 + 2 Divided √5 + 2

=

√10 ⋅ √5 + 2√10

5 − 4

= 5√2 + 2√10

Step-by-step explanation:

Multiply the numerator and the denominator by the conjugate of the denominator:

√10 Divided √5 − 2

=

√10 Divided √5 − 2 ⋅ √5 + 2 Divided √5 + 2

=

√10 ⋅ √5 + 2√10

5 − 4

= 5√2 + 2√10