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:
9-1=8
Step-by-step explanation:
he started with 9 but at the end of the day he had 8. meaning he ate 1 peice
Slope intercept form is y=mx+b
Y= y intercept
M = slope
B = x intercept
-2x-11y= 5 get the y by itself
-11y = 2x + 5 divide by -11
y = -2/11x + 5/11
slope is -2/11
I think “c” is the correct answer. I am not sure
Answer:
x=6
y=3
Step-by-step explanation:
y(side)= x
x(side)=2x
3rd side (3
) = x
x=3;
x= 2(3)=6
y=(3)=3
