Surds question- year 9?

2009-05-26 9:14 am

Expand the brackets and simplify:

(2 square root 5 - square root 2) squared

回答 (3)

2009-05-26 10:18 am

✔ 最佳答案

(2√5 - √2)^2
= (2√5 - √2)(2√5 - √2)
= (2 * 2)√(5 * 5) - 2√(2 * 5) - 2√(5 * 2) + √(2*2)
= 4(5) - 2√10 - 2√10 + 2
= 20 + 2 - 4√10
= 22 - 4√10

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2009-05-26 10:02 am

when a square root is squared it cancels out the square root leaving you with
2(squared) x 5 - 2

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2009-05-26 9:23 am

=20+2-4\/'''10'''=22-4\/'''10''''

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