5.) a gardener wants to divide a square piece of lawn in half diagonally. what is the length of the diagonal side of the square is 8 fr. leave your answer in simplest radical form.

diagonal ^2 = 8^2 + 8^2

diagonal ^2 = 64 + 64

diagonal ^2 = 128

diagonal ^2 = 64 * 2

diagonal ^2 = 8 * sq root (2)

Diagonal of a square = SqrRoot (2 * side^2)

Diagonal = SqrRoot (2 * 8^2)

Diagonal = SqrRoot (128)

SqrRoot (128) = SqrRoot (2 * 64) = SqrRoot (2) * 8

DIAGONAL = SqrRoot (2) * 8

The length of the diagonal side can be calculated by using Pythagoras theorem.

The length of the diagonal side is 8√2

Pythagoras theorem:

diagonal ² = opposite ² + adjacent ²

= 8² + 8²

= 64 + 64

diagonal ² = 128

find the square root of both sides

√diagonal ² = √128

diagonal = √2×64

= √2 × √64

= √2 × 8

= 8√2

Therefore, the length of the diagonal side is 8√2

Learn more about the Pythagoras theorem:

link

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

60.9774

step-by-step explanation:

because when you add 47.6 plus 7.32 equals 54.92

and when you add .0574 + 6= 6.0574

and when you add 54.92 and 6.0574 you get the answer of 60.9774.

plzz mark brainlest last one got deleted. cause i didn't explain it but i did but i understand what the mod meant