Question

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Answer 1

Answer:

√2 + √5 - √10 + 1

Step-by-step explanation:

12/3 + √5+2√2

= 12/[3 + (√5+2√2)]  * [3 - (√5+2√2)]/[3 - (√5+2√2)]

= 12 * [3 - (√5+2√2)]/ (3)² - (√5+2√2)²

=  12 * [3 - (√5+2√2)] / 9 - 5 - 4√10 -8

=  12 * [3 - (√5+2√2)]/-4 - 4√10

= 12 * [3 - (√5+2√2)]/-4(1 + √10)

= 36 - 12(√5 +2√2)-4(1 + √10)

= 9 - 3(√5 +2√2)/-1(√10+1)

=  3(√5 +2√2) - 9 / √10+1

=  [3(√5 +2√2) - 9][√10 - 1] / (√10+1)(√10-1)

= 3√50 - 3√5 + 6√20 - 6√2 - 9√10 + 9 / 9

= 15√2 - 3√5 + 12√5 - 6√2 - 9√10 + 9 / 9

= 9√2 + 9√5 - 9√10 + 9 /9

= √2 + √5 - √10 + 1