Question

✓82²-18²=✓65²-63²==✓113²-112²=✓✓3⁴*2²=

Answer 1

√82²-18²= √(82-18)(82+18) =√64·100 =8·10=80.

√65²-63² =√(65-63)(65+63) =√2·128 =√2·2·64 =2·8=16.

√113²-112² =√1·225 =15.

√√3^4·2²=√3²·2 =3√2.

Answer 2

Let's solve the equations step by step:

1. √(82² - 18²) = √(65² - 63²)

First, calculate the values inside the square roots:

82² - 18² = 6724 - 324 = 6400 65² - 63² = 4225 - 3969 = 256

Now, take the square roots:

√6400 = 80 √256 = 16

So, 80 = 16. This statement is not true.

2. √(113² - 112²) = √(3⁴ * 2²)

Again, calculate the values inside the square roots:

113² - 112² = 12769 - 12544 = 225 3⁴ * 2² = 81 * 4 = 324

Now, take the square roots:

√225 = 15 √324 = 18

So, 15 = 18. This statement is also not true.

It seems that there might be some mistakes in the provided equations. If you meant something else, please let me know, and I'll be happy to help you further.