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What is:

5(square root2 +1) - square root2(4-3 square root2 ='s

Thanks.

2006-09-18 07:26:05 · 10 answers · asked by Anonymous in Education & Reference Homework Help

10 answers

5(√2 + 1) - √2 (4-3√2) =

Step 1: Distribute the parenthesis:
5(√2 + 1) - √2 (4-3√2) =
5√2 + 5 - 4√2 + 3 * √2 *√2 =
5√2 + 5 - 4√2 + 3 * 2 =
5√2 + 5 - 4√2 + 6 =

Step 2: Combine like terms:
5√2 + 5 - 4√2 + 6 =
5√2 - 4√2 + 6 + 5 =
√2 + 11 (solution)

2006-09-18 07:34:07 · answer #1 · answered by ³√carthagebrujah 6 · 0 0

5(√2+1) - √2 (4-3√2)
5√2+5-4√2 +3*√2*√2
5√2+5-4√2+3*2
5√2-4√2+5+6
√2+11

2006-09-18 14:44:02 · answer #2 · answered by Anonymous · 0 0

If we draw a square with sides of length 1 metre, how long is the diagonal? The answer is "the square-root of 2". The square-root of a number is a number, which, when multiplied by itself (squared) gives the original number. So the square-root of 9 (written as 9) is 3 since 3 squared = 3 x 3 = 9. Since 2 is not a square number, its square-root is not a whole number:
2 = 1.41421 35623 73095 04880 16887 ...
Can we write this as a fraction such as 99/70? 99/70 is quite close to the square root of 2 since 99/70 = 1.4142 85... The ancient Greek mathematicians thought that the only numbers were whole numbers and fractions, but then found evidence that the square-root of 2 could not be written as a fraction, no matter how big the numbers were in the fraction!
Such numbers - that are neither whole number nor fractions - are called irrational numbers. (For more about irrational numbers see the fractions section). This doesn't mean that they aren't logical, but means they are not the ratio of two numbers (rational numbers), the ir- acting like the "ir" in the word "irrelevant" (meaning not relevant).

This sequence of fractions gives better and better approximations to 2:


1 , 3 , 7 , 17 , 41 ,

2006-09-18 14:31:18 · answer #3 · answered by Anonymous · 0 1

13

2006-09-18 14:28:35 · answer #4 · answered by Anon 2 · 0 1

5sqroot2 +5 - 4sqroot2 + 3sqroot2sqroot2
5sqroot2 + 5 -4 sqroot2 + 3(2)
5sqroot2 +5 - 4sqroot2 + 6
sqroot2 + 11

2006-09-18 14:30:38 · answer #5 · answered by T 5 · 0 0

use the distributive law. the expression equals 5*sq.rt.2 + 5 - 4*sq.rt.2 + 3*sq.rt2*sq.rt.2 which is 5*sq.rt.2 - 4*sq.rt.2 + 5 + 6 = sq.rt. 2 + 11!

2006-09-18 14:34:45 · answer #6 · answered by steven o 2 · 0 0

just give you a clue the square of an angle on a right angled triangle is equal to the square on the angle of the other 2 sides i hope this helps.

2006-09-18 14:33:12 · answer #7 · answered by Anonymous · 0 1

Judging by the answers there are too many brains out there.

I'm impressed.

Wish I'd paid more attention to my maths class in school.

Sorry mate !!!!

2006-09-18 14:38:34 · answer #8 · answered by Angel 2 · 0 0

No because no audio on Yahoo answers :o)

2006-09-18 14:39:42 · answer #9 · answered by Paul B 5 · 0 0

And how is this going to get you a job, pray tell?

2006-09-18 14:33:50 · answer #10 · answered by sarkyastic31 4 · 0 2

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