Posted by **Sue Bonds** on Saturday, August 6, 2011 at 9:12am.

1) Is the equation: 28 - 4√2 = 24√2 True? Explain why or why not?

2) Is this statement √a + √b = √(a +b) True? Explain why or why not?

3) What is the index of a radical? When working with radicals, can the radicand be negative when the index is odd? Can it be negative when the index is even?

4) Simplify the following expressions:-

(a) 8√48 - 5√3

(b) 7 * 3√(-16) + 15 * 3√2

- Algebra -
**Henry**, Saturday, August 6, 2011 at 8:48pm
1. 28 - 4sqrt2 = 24sqrt2.

24sqrt2 + 4sqrt2 = 28,

28sqrt2 = 28. Not True.

Divide both sides by 28:

sqrt2 = 1. NOT TRUE.

2. sqrt(a) and sqrt(b) can be added only if a = b. So the Eq is Not True.

3. a. The index is 2 for a sqrt radical

and 3 for a crt radical.

b. Yes, the radican can be neg. when

the index is odd.

c. No, the radican cannot be neg. when the index is even.

4a. 8sqrt48 - 5sqrt3 =

8sqrt(16*3) - 5sqrt3 =

8*4sqrt3 - 5sqrt3 =

32sqrt3 - 5sqrt3 =

Factor out 5sqrt3:

sqrt3(32-5) = 27sqrt3.

b. 21sqrt(-16) + 45sqrt2 =

21sqrt(16*-1) + 45sqrt2 =

21*4sqrt(-1) + 45sqrt2 =

84sqrt(-1) + 45sqrt2 =

Factor out 3:

3(28sqrt(-1) + 15sqrt2 =

3(28i + 15sqrt2).

## Answer this Question

## Related Questions

- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...
- maths - I will be thankfull to you if you help me to solve the below problem: 6...
- Algebra Work Check - 1. 5√6 * 1/6√216 5/6 * √1296 5/6 * √...
- Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...
- algebra 1 - alright i have a few questions if its ok..? Simplify: 1. -2√(...
- Algebra - Simplify the expressions and solve the equations 1. 2√3 - √...
- grade 11 math - I don't get how to do this. I'm so lost please help me. ...
- Precalculus - Determine the exact value of cos 465 degrees a) √3 + √...
- Math - Determine the exact value of cos 465 degrees a) √3 + √2/2 b...

More Related Questions