We try to represent each number inside the square root as a product of a square and another number.
a) 7√32 - 5√2 + √8
√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2
√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2
7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
= 28√2 - 5√2 + 2√2 Factorize out √2
= (28 - 5 + 2)√2
= 25√2
b) 2√150 - 4√54 + 6√24
√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6
√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6
√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6
2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)
= 2*5√6 - 4*3√6 + 6*2√6
= 10√6 - 12√6 + 12√6 Factorize √6
= (10 - 12 + 12)√6
= 10√6
Answer:
4-3x over x or 4-3x/x
I'm not sure. but I hope it can help you:))
This looks familiar, right? Like slope-intercept.
y=mx+b, where m is the slope.
Let's right it like that.
5y=3x-10 (add 3x to both sides, since we want to isolate the y.)
Now divide by 5, since - again - we want to isolate the y.
y= 3/5x-10/5 >>>> y= 3/5x-2
I think the slope is 3/5.
If the line happens to be parallel, the slope is the same. If perpendicular, it is opposite reciprocal. So if it was perpendicular, the slope would be -5/3.
Answer:
-963
Step-by-step explanation:
