Question

Rationalize the denominator. 1/ (√2 + √3)​

Answer 1

Answer:

:D

Explanation:

Rationalising the denominator:

1/✓3-✓2

Denominator is ✓3-✓2

Rationalising factor is ✓3+✓2

1/✓3-✓2 * ✓3+✓2/✓3+✓2

= ✓3+✓2/(✓3-✓2)(✓3+✓2). [Using identity. (a+b)(a-b) = a^2-b^2 ]

= ✓3+✓2/(✓3)^2-(✓2)^2

= ✓3+✓2= 3-2

✓3+✓2/1

✓3+✓2 is the answer

Hope this helps you =)

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