√8-√2+√32 How can I solve this?

2009-04-23 10:53 am
Please post HOW did you find the answer.

回答 (4)

2009-04-23 11:01 am
✔ 最佳答案
√8 is like √4x2. You can square root a 4 to get a 2, so √8 becomes 2√2. in √32, it can be √16x2. You can square root a 16 to get a 4, so √32 becomes 4√2.
Basically, this is surds, so you must change all the numbers in this equation so there square root numbers matches (like algebra). The new equation is

2√2 - √2 + 4√2
Which is 5√2.

The square root numbers behave like variables in algebra if you're doing surds.
2009-04-23 6:04 pm
You can't solve it. Its not an equation. You can only simplify this.
If you mean How can I simplify this, then the other answers are correct. Use correct language please! Will you?
2009-04-23 6:00 pm
√8-√2+√32
=√(4*2)-√2+√(2*16)
= (√4)*(√2)-√2+(√2)*(√16)
= (2√2)-√2+(√16)*(√2)
= 2√2-√2+4√2
= 5√2
2009-04-23 7:53 pm
√8 - √2 + √32
= √(2^2 * 2) - √2 + √(4^2 * 2)
= √(2^2) * √2 - √2 + √(4^2) * √2
= 2 * √2 - √2 + 4 * √2
= 2√2 - √2 + 4√2
= (2 - 1 + 4)√2
= 5√2


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