Question

Mark √1 on number line

Answer 1

Answer:

Step-by-step explanation:

step of construction :-

1. draw a line

2. mark a point A to B point (AB=1unit)

3. at point B construct a 90 degree angle.

4. cut the arc 1unit at point C.

5. cut the arc to C to D.

6. D represent the root1

Answer 2

Answer:

In this topic, we’ll try to understand the representation of square root numbers also known as irrational numbers on the number line. Before going on the topic, let’s understand a simple concept of Pythagoras Theorem, which states that:

“if ABC is a right angled triangle with AB, BC and AC as the perpendicular, base and hypotenuse of the triangle respectively with AB = x units and BC = y units. Then, the hypotenuse of the triangle, AC is given by

$\sqrt{{x}^{2} + {y}^{2} }$

Step-by-step explanation:

The square root of 1 refers to the value which when multiplied by itself gives the result as 1. For 1, its square root can be either 1 or -1 as both 1 multiplied by 1 and -1 multiplied by -1 gives the result as 1. In general, every number has two square roots, i.e. the positive and the negative square root. In general, when talking about square roots, only the positive square root is considered (i.e. the principle square root). So,

Square Root of 1 (√1) = 1

The square root of 1 value is:

The square root of 1 value is:√1 = 1

The square root of 1 value is:√1 = 1As 1 is a real number and the square of any number is positive, we can assume that the square root of 1 is 1 itself. Representing this mathematically we get the following:

The square root of 1 value is:√1 = 1As 1 is a real number and the square of any number is positive, we can assume that the square root of 1 is 1 itself. Representing this mathematically we get the following:sqrt(1) = √1

The square root of 1 value is:√1 = 1As 1 is a real number and the square of any number is positive, we can assume that the square root of 1 is 1 itself. Representing this mathematically we get the following:sqrt(1) = √1And, √1×√1 = 1

The square root of 1 value is:√1 = 1As 1 is a real number and the square of any number is positive, we can assume that the square root of 1 is 1 itself. Representing this mathematically we get the following:sqrt(1) = √1And, √1×√1 = 1Or, √1 = 1

Derivation of Square Root 1

Knowing how to find the square root of numbers is essential as it helps to have a deeper understanding of square roots concept. But, for 1, the derivation is simple and does not require complex methods. The basic polynomial equation can be used to derive the value of sqrt(1). Let √1 be x, and then the equation of its square root will be-

${x}^{2}$

= 1

Now, this is an equation of degree 2 and will have 2 roots which are 1 and -1. But, as the square root value is considered as positive in general, the square root of 1, under root 1 or simply √1 will be 1.

The square root of 1 is 1 so that's easy.