Simplify this expression. Assume that x is nonzero. x^−11•x^2
1 answer:
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Answer:
B) \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Step-by-step explanation:
Step 1: First we have to get rid off the roots in the denominator.
To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.
The conjugate of √5 + √3 is √5 - √3.
Now multiply given expression with √5 - √3
(√6 + √11) (√5 - √3)
------------- x -----------
(√5 + √3) (√5 - √3)
Step 2: Multiply the numerators and the denominators.
√6√5 - √6√3 +√11√5 -√11√3
------------------------------------------
(√5)^2 - (√3)^2
Now let's simplify to get the answer.
√30-√18 +√55 - √33
-----------------------------
5 - 3
= √30 -3√2 +√55 [√18 = √9√2 = 3√2]
--------------------------
2
The answer is \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Thank you.
Answer:
23 ft
Step-by-step explanation:
The computation of the maximum length of the base of the triangle is as follows:
Area of triangle is = 4 × 6 ÷ 2
= 12 ft²
Now the maximum area of the rectangle is
= 150 - 12
= 138 ft²
L = ?
W = 6 ft
Area of rectangle is = L × W
L × 6 = 138
L = 138 ÷ 6
= 23 ft
