Question

rationalise the denominetor of 2+3root5/2-3root 5

Answer 1

Hope you understood.
Thanks for thr question

Answer 2

Heya User ✌

Here's your answer friend,

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==> 2 + 3√5 / 2 - 3√5

✔ NOW, RATIONALISING THE DENOMINATOR

WE GET,

==> 2 + 3√5 / 2 - 3√5 X 2 + 3√5 / 2 + 3√5

==> (2 + 3√5)²/(2)² - (3√5)²

==> (2)² + 2(3√5)(2) + (3√5)² / 4 - 45

BY USING THE IDENTITIES

✔ (a + b)² = a² + 2ab + b²

and

✔ (a + b)(a - b) = (a)² - (b)²

==> 4 + 12√5 + 45/ (- 41)

==> 49 + 12√5/-41

AS DENOMINATOR NEVER BE NEGATIVE

✔ -(49 + 12√5)/41

==> (-49 - 12√5)/41

IS THE REQUIRED ANSWER.

HOPE IT HELPS YOU :)

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