Question

Can some one please do this? thank you !

Answer 1

Explanation:

6)a)

`5√(27)=5√(3*3*3)\\\\ =5*3√(3)\\\\ =15√(3)`

7a) y² - 5y - 14 = y² -7y +2y - 2*7

= y*(y - 7) + 2*(y - 7)

=(y - 7)(y + 2)

b) Use FOIL method

`(2√(5)+1)(3√(5)-1)=(2√(5)*3√(5))-((2√(5)*1)+1*3√(5))-1*1\\\\ =6*5-2√(5)+3√(5)-1\\\\ =30+(-2+3)√(5)-1\\ \\=29+√(5)`

c) Rationalize the denominator by multiplying the denominator and numerator by √12

`(6)/(√(12))=(6*√(12))/(√(12)*√(12))\\\\=(6√(2*2*3))/(12)\\\\=(6*2√(3))/(12)\\\\=(12√(3))/(12)\\\\=√(3)`