I need help with a few problems (< means square root of, * means multiplication,^ means squared, and /means fraction)

1) (-<10)^*5<45

2) <7(5+3<5)

3) 8<11/<3

4) <3/8

Sure! I can help you with these problems. Let's break them down one by one.

1) (-√10)^2 * 5 < 45
To solve this, start by calculating the square root of 10: √10 ≈ 3.16
Next, square the result: (√10)^2 = 3.16^2 = 9.98
Now, substitute this value back into the inequality: 9.98 * 5 < 45
Multiply: 49.9 < 45
This statement is false, 49.9 is not less than 45.

2) √7 * (5 + 3√5)
First, calculate the square root of 7: √7 ≈ 2.65
Next, calculate the square root of 5: √5 ≈ 2.24
Now, substitute these values into the equation: 2.65 * (5 + 3(2.24))
Perform the inner multiplication: 2.65 * (5 + 6.72)
Add the values inside the parentheses: 2.65 * 11.72 ≈ 31.01
So, √7 * (5 + 3√5) is approximately equal to 31.01

3) 8 < 11 / √3
To solve this, calculate the square root of 3: √3 ≈ 1.73
Now, substitute this value back into the inequality: 8 < 11 / 1.73
Perform the division: 8 < 6.36
This statement is true. 8 is indeed less than 6.36.

4) √3 / 8
To solve this, calculate the square root of 3: √3 ≈ 1.73
Now, divide this result by 8: 1.73 / 8 ≈ 0.22
So, √3 / 8 is approximately equal to 0.22.

I hope these explanations help you understand how to solve the given problems! Let me know if you have any further questions.

Sure! I can help you with these problems step-by-step. Here are the solutions to each problem:

1) (-√10)^2 * 5 < 45
First, evaluate the square root: √10 ≈ 3.162
Next, square the result: (-3.162)^2 = 10
Multiply by 5: 10 * 5 = 50
Final result: 50 < 45
Therefore, the statement is false.

2) √(7(5+3/5))
Start by simplifying within the parentheses: 5 + 3/5 = 5 + 0.6 = 5.6
Then, multiply 7 by 5.6: 7 * 5.6 = 39.2
Finally, find the square root: √39.2 ≈ 6.26
Therefore, the simplified expression is √(7(5+3/5)) ≈ 6.26

3) 8 < 11 / √3
Divide 11 by the square root of 3: 11 / √3 ≈ 6.352
Therefore, the statement is true, and the simplified expression is 8 < 6.352.

4) √3 / 8
Simply calculate the square root of 3: √3 ≈ 1.732
Then, divide it by 8: 1.732 / 8 ≈ 0.2165
Therefore, the simplified expression is √3 / 8 ≈ 0.2165.

If you have any further questions, feel free to ask!