change 50 to 25*2

sqrt 50 = 5 sqrt2

change 8 to 4*2

Nope:
(sqrt3-sqrt5)(sqrt3-sqrt5).
remember
(a-b)(a-b)= a^2-2ab + b^2

Simplify.Express in simpliest radical form.
1.3sqrt2 +sqrt50
Cannot be solve. Terms have unlike radicals

2.3sqrt8+2 sqrt16
Terms have unlike radicals

3. Not sure how to do this one as there is no example in my text to follow
(sqrt3-sqrt5)(sqrt3-sqrt5).
I guess the answer as 1

SO MY ANSWER TO #1 would be 8sqrt2

Here is what I have done with the #2
3SQRT4*2 +2 SQRT4.What Am i doing with the 4*2. I KNOW I CAN NOW ADD THE 3 AND THE 2 TO MAKE THAT 5. BUT WHAT ABOUT THE 2 NEXT TO THE 4. tHANKS FOR YOUR KIND HELP

To solve these problems, let's break down each step and explain how to get the answers:

1. To change 50 to 25 * 2, you're essentially expressing the number 50 as the product of two numbers, 25 and 2. So, you can rewrite it as 25 * 2.

2. To find the square root of 50 (sqrt 50), you want to find a number that, when multiplied by itself, equals 50. In this case, you can simplify it further by recognizing that sqrt 50 equals sqrt(25 * 2). Using the property of square roots, you can break it down as sqrt(25) * sqrt(2), which equals 5 * sqrt 2.

3. To change 8 to 4 * 2, you can simply express the number 8 as the product of 4 and 2.

4. The expression (sqrt3 - sqrt5)(sqrt3 - sqrt5) can be solved using the FOIL method, which stands for First, Outer, Inner, Last. Applying this method, you would multiply the first terms: sqrt3 * sqrt3 = 3. Then, multiply the outer terms: sqrt3 * -sqrt5 = -sqrt(15). Next, multiply the inner terms: -sqrt5 * sqrt3 = -sqrt(15). Finally, multiply the last terms: -sqrt5 * -sqrt5 = 5. Combining these results, you get 3 - 2sqrt(15) + 5. Simplifying further, you have 8 - 2sqrt(15).

5. The expression 1.3 sqrt 2 + sqrt 50 cannot be simplified because the terms have unlike radicals. The sqrt 2 and sqrt 50 are different types of radicals, so they cannot be combined.

6. Similarly, the expression 3 sqrt 8 + 2 sqrt 16 cannot be simplified because the terms have unlike radicals. The sqrt 8 and sqrt 16 are different types of radicals, so they cannot be combined.

To summarize:
- 50 can be changed to 25 * 2.
- sqrt 50 simplifies to 5 sqrt 2.
- 8 can be changed to 4 * 2.
- (sqrt3 - sqrt5)(sqrt3 - sqrt5) simplifies to 8 - 2sqrt(15).
- The expressions 1.3 sqrt 2 + sqrt 50 and 3 sqrt 8 + 2 sqrt 16 cannot be simplified.

I hope this helps! Let me know if you have any further questions.