Question

1) (2√10)^2-√100 2) 0.5+2(√0.39)^2

Answer 1

1)4•10-10
10(4-1)
10•3=30

Answer 2

Let's solve the given expressions step by step:

1. (2√10)^2 - √100:

Step 1: Simplify inside the parentheses. 2√10 = 2 * √10 = 2 * √(10) = 2√(10)

Step 2: Square the expression inside the parentheses. (2√10)^2 = (2√(10))^2 = 4 * (10) = 40

Step 3: Simplify the second part of the expression. √100 = √(10^2) = 10

Step 4: Subtract the two parts of the expression. (2√10)^2 - √100 = 40 - 10 = 30

Therefore, (2√10)^2 - √100 = 30.

2. 0.5 + 2(√0.39)^2:

Step 1: Simplify inside the parentheses. √0.39 = √(0.39)

Step 2: Square the expression inside the parentheses. (√0.39)^2 = 0.39

Step 3: Multiply by 2. 2 * (√0.39)^2 = 2 * 0.39 = 0.78

Step 4: Add 0.5 to the result. 0.5 + 2(√0.39)^2 = 0.5 + 0.78 = 1.28

Therefore, 0.5 + 2(√0.39)^2 = 1.28.

Note: √(x) denotes the square root of x, and (√x)^2 denotes squaring the square root of x, which results in x.