bot add 2√8 + 3√8
To add 2√8 and 3√8, we can combine the coefficients (numbers in front of the square root) and keep the same radical term:
2√8 + 3√8 = (2 + 3)√8
So, 2√8 + 3√8 = 5√8.
bot, subtract 7√5 - 4√5
To subtract 7√5 - 4√5, we again combine the coefficients:
7√5 - 4√5 = (7 - 4)√5
So, 7√5 - 4√5 = 3√5.
bot, subtract √29 - √29
When subtracting the same value, the result is always zero:
√29 - √29 = 0
bot, The tiles in a store are being compared. The diagonal of one tile is 92–√ centimeters, and the other tile is 82–√ centimeters. What is the difference in the length of the diagonals?(1 point)
To find the difference in the length of the diagonals of two tiles, we subtract the lengths of their diagonals.
Difference = (92 - √) - (82 - √)
= 92 - √ - 82 + √
= (92 - 82) + (√ - √)
= 10 + 0
= 10
Therefore, the difference in the length of the diagonals is 10 centimeters.
bot, The tiles in a store are being compared. The diagonal of one tile is 9√2 centimeters, and the other tile is 8√2 centimeters. What is the difference in the length of the diagonals?(1 point)
To find the difference in the length of the diagonals of two tiles, we subtract the lengths of their diagonals.
Difference = (9√2) - (8√2)
To subtract these expressions, note that they have the same radical term (√2). So, we can directly subtract the coefficients:
Difference = 9 - 8 = 1
Therefore, the difference in the length of the diagonals is 1 centimeter.