2) Simplify using laws of exponents and write the final answer with positive exponents only. Hint: write all radicals using rational exponents. Assume x and y are not zero and w > 0. -3 4x-2y4 a) \12x4y-5, w. Vw2 b) Vw

Q: Find the length of side a in simplest radical form with a rational denominator. 30° 60°

A: Solution is given below:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° V2 45°

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° X 45° V3

A:

Q: b. Write a division equation that represents the question: howimanys are in 2?

A: In order to represent the given equation let there are x 3/8 s in 2

Q: show that the equation x³+x²-3=0 has no rational roots, but that it does have an irrational root…

A: i used rational zeros theorem for proving it has no rational root

Q: Find the length of side x in simplest radical form with a rational denominator. 45° V5 X 45°

A: From the given figure:     With respect to angle ∠C=45°.   Perpendicular=AB=xBase=BCHypotenuse=AC=5…

Q: Find the length of side a in simplest radical form with a rational denominator. 300 60° 3

A: Using the definition of trigonometric ratio tan:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° X 45° V6

A: Value of x needs to be evaluated The triangle is given by

Q: Find the length of side x in simplest radical form with a rational denominator. V5 45

A: Given diagrams are, 1)   2)

Q: Find the length of side x in simplest radical form with a rational denominator 45 x 45 5

A: given,         according to the question,

Q: a. To maximize the area of the pen, the sides perpendicular to the barn should be 625 m long and the…

A: Given query is to find the dimensions of each barn.

Q: Find the length of side x in simplest radical form with a rational denominat 45° 45° V6

A: Use trigonometric function

Q: Find the length of side x in simplest radical form with a rational denominator. 30° 60° V7

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60 X 2 30 Answer:…

A: Ans is given below

Q: Find the length of side x in simplest radical form with a rational denominator. 60 Зо V7

A: We know that, in a right angle triangle tanθ=side opposite to angle θside adjacent to angle θ…

Q: Find the length of side x in simplest radical form with a rational denominator. 45 1 X 45°

A: We are asked to find the length of the side x

Q: ow by contradiction that if 5x2+ 3 is irrational, then x is irrational. -

A: Proof by contradiction

Q: simplify the radical that is nor a perfect square √75x^7y^5

A: Simplify the redical that is nor a perfect square.   √ (75x7y5 ) . Here i attached solution of this…

Q: Find the length of side x in simplest radical form with a rational denominator. 60 300 V8

A: This question is based on trigonometric ratio. Tan(x) = perpendicular/base

Q: Find the length of side x in simplest radical form with a rational denominator. 45° V2 45° X

A:

Q: Show by contradiction that if 10x2+ 2 is irrational, then x is irrational. 5

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° 1 45°

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° X 45° 7

A: Given: To determine: Value of x.

Q: Find the length of side x in simplest radical form with a rational denominator. 60 X 30 2 Answer:…

A:

Q: Find the length of side x in simplest radical form with a rational denomir 60 7 30 X

A: Solve the following

Q: Find the length of side x in simplest radical form with a rational denominator. 60 30 V7

A: To find :                   The length of side x in simplest form with rational denominator.

Q: Find the length of side x in simplest radical form with a rational denominator. 45° V5 45°

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60 30 X Answer:

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60° X 2 30°

A: From the given figure, if we consider the angle θ=30o then:   Perpendicular=2Hyotenuse =X   Applying…

Q: Find the length of side x in simplest radical form with a rational denominator. 45° 1 X 45

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60 V8 30 X

A:

Q: Find the length of side x in simplest radical form with a rational denominator.30°60°2x

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° 2 45° X

A:

Q: Find the length of side x in simplest radical form with a rational denominat 60 30

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 45 1 45 X

A: The given triangle is right triangle. From given figure it is observed that, The hypotenuse is 1 and…

Q: Find the length of side x in simplest radical form with a rational denominator. бо° V3 300

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 60° V2 30° X

A: Given triangle Then we have to find the value of x So first we will be naming the triangle ABC here…

Q: Find the length of side x in simplest radical form with a rational denominator. 450 X 45° V2

A: The explanation of the solution as follows:

Q: ind the length of side x in simplest radical form with a rational denominator.

A: Our Aim is to find the length of side x in the given triangle below:-

Q: Find the length of side x in simplest radical form with a rational denominator. 60° V2 30°

A: Given: Hypotenuse = √2 Base = x

Q: ind the length of side x in simplest radical form with a rational lenominator. 60 X 30 2

A: We have to find value of x as shown in figure below

Q: Find the distance between the two points in simplest radical form. 10 8 41 2 -10 9 -8 -4 1 -4 6.

A: Given,

Q: Find the length of side x in simplest radical form with a rational denominator. 45° V8 45°

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 600 V3 300

A: In a right-angled triangle, the tangent or tan ratio of a acute angle, say x, of the triangle is…

Q: Find the length of side x in simplest radical form with a rational denominator. 60 30> 7

A:

Q: Find the length of side a in simplest radical form with a rational denominator. 300 60 3.

A: Using property of 30-60-90 degree angles,

Q: Find the length of side x in simplest radical form with a rational denominator. 450 V5 45°

A:

Q: Find the length of side x in simplest radical form with a rational denominator. 45° 1 X 45°

A: The given triangle is an isosceles right angle triangle with equal angle 45°

Q: Find the length of side x in simplest radical form with a rational denominator. 60 V5 X 30

A: Use appropriate trigonometric ratio and find x.