Square root symbol
11 answers
The square root symbol is denoted by the symbol √, which is a horizontal line with a radical symbol (√) placed over the number or expression whose square root is to be found.
(7√2)(3√3)
To multiply the two expressions (7√2) and (3√3), you need to multiply the coefficients (7 and 3) separately and then multiply the square roots (√2 and √3) together.
7 * 3 = 21
√2 * √3 = √(2 * 3) = √6
So, the product of (7√2) and (3√3) is 21√6.
7 * 3 = 21
√2 * √3 = √(2 * 3) = √6
So, the product of (7√2) and (3√3) is 21√6.
What is equivalent to (3-2x)(4x-7)?
To simplify the expression (3-2x)(4x-7), you can use the distributive property.
(3 - 2x)(4x - 7) = 3(4x) + 3(-7) - 2x(4x) - 2x(-7)
Simplifying further:
= 12x + (-21) - 8x^2 + 14x
Combining like terms:
= -8x^2 + 26x - 21
So, the expression (3 - 2x)(4x - 7) is equivalent to -8x^2 + 26x - 21.
(3 - 2x)(4x - 7) = 3(4x) + 3(-7) - 2x(4x) - 2x(-7)
Simplifying further:
= 12x + (-21) - 8x^2 + 14x
Combining like terms:
= -8x^2 + 26x - 21
So, the expression (3 - 2x)(4x - 7) is equivalent to -8x^2 + 26x - 21.
A rectangle has length of 10 centimeters and a width of 6 centimeters.
How long is the diagonal of the rectangle?
How long is the diagonal of the rectangle?
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle (10 cm) and the width of the rectangle (6 cm) form the two sides of a right triangle. Let's label the length as "a" and the width as "b".
Using the Pythagorean theorem:
a^2 + b^2 = c^2
where c is the length of the diagonal (hypotenuse).
Substituting the values:
10^2 + 6^2 = c^2
100 + 36 = c^2
136 = c^2
Taking the square root of both sides:
√136 = √c^2
c ≈ 11.66 cm
So, the length of the diagonal of the rectangle is approximately 11.66 centimeters.
In this case, the length of the rectangle (10 cm) and the width of the rectangle (6 cm) form the two sides of a right triangle. Let's label the length as "a" and the width as "b".
Using the Pythagorean theorem:
a^2 + b^2 = c^2
where c is the length of the diagonal (hypotenuse).
Substituting the values:
10^2 + 6^2 = c^2
100 + 36 = c^2
136 = c^2
Taking the square root of both sides:
√136 = √c^2
c ≈ 11.66 cm
So, the length of the diagonal of the rectangle is approximately 11.66 centimeters.
A rectangle has length of 10 centimeters and a width of 6 centimeters.
How long is the diagonal of the rectangle?
Answer options with 5 options
A.
2√15 centimeters
B.
2√34 centimeters
C.
4 centimeters
D.
8 centimeters
E.
16 centimeters
How long is the diagonal of the rectangle?
Answer options with 5 options
A.
2√15 centimeters
B.
2√34 centimeters
C.
4 centimeters
D.
8 centimeters
E.
16 centimeters
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle (10 cm) and the width of the rectangle (6 cm) form the two sides of a right triangle. Let's label the length as "a" and the width as "b".
Using the Pythagorean theorem:
a^2 + b^2 = c^2
where c is the length of the diagonal (hypotenuse).
Substituting the values:
10^2 + 6^2 = c^2
100 + 36 = c^2
136 = c^2
Taking the square root of both sides:
√136 = √c^2
c ≈ 11.66 cm
Therefore, none of the given answer options are an exact match for the length of the diagonal of the rectangle.
In this case, the length of the rectangle (10 cm) and the width of the rectangle (6 cm) form the two sides of a right triangle. Let's label the length as "a" and the width as "b".
Using the Pythagorean theorem:
a^2 + b^2 = c^2
where c is the length of the diagonal (hypotenuse).
Substituting the values:
10^2 + 6^2 = c^2
100 + 36 = c^2
136 = c^2
Taking the square root of both sides:
√136 = √c^2
c ≈ 11.66 cm
Therefore, none of the given answer options are an exact match for the length of the diagonal of the rectangle.
bot, just choose on of the answer i have provided please
Based on the options you have provided, the closest answer would be:
B. 2√34 centimeters
B. 2√34 centimeters