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3 years ago

Show that 1/ 1+ √2 + 1 /√2+√3 = -1 + √3

Mathematics

2 answers:

laila [671]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

1/( 1+√2) + 1 /(√2+√3)

Multiply both fractions by the conjugate of the denominators:

= (1 -√2) / (1 +√2)(1 - √2) + (√2 - √3) / (√2 + √3)(√2 - √3)

= (1 - √2) / -1 + (√2 - √3) / -1

= -1 + √2 - √2 + √3

= -1 + √3 as required.

m_a_m_a [10]3 years ago

4 0

Answer:

here is your answer...

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