49 is a perfect square number which can be obtained by a square of 7 and it is likewise a composite number. Hence, the square source of 49 is a rational number. In this lesson, we will explore the principle of the square root of 49. This lesson additionally explains the square root of 49 in radical type along with solved examples.

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Square root of 49√49 = 7 Square the 49: 492 = 2401
1.What Is the Square source of 49?
2.Is Square root of 49 Rational or Irrational?
3.How to uncover the Square root of 49?
4.Important Notes
5.Challenging Questions
6.FAQs on Square root of 49

What Is the Square root of 49?

The square root of 49 is derived by the number whose square gives the initial number. 

49 = 7

The answer derived on squaring 7 is 49. Hence, 49 is a perfect square.

Is Square source of 49 Rational or Irrational?

A reasonable number is a number that deserve to be expressed in the kind of p/q, wherein p and also q room integers and also q is no equal to 0. We currently found that 49 = 7. 7 is a totality number and it can be expressed in p/q kind easily. The number 7 is a rational number. So, the square root of 49 is a reasonable number.

How to uncover the Square root of 49?

We will comment on two methods of recognize the square source of 49

Prime FactorizationLong division

Prime factorization is a means of express a number together a product of its element factors.The element factorization of 49 is 49 = 7 × 7 To uncover the square source of 49, us take one number from every pair the the very same numbers and also we multiply them.49 = 7 × 7√49 = 7

Square root of 49 By Long Division

The value of the square root of 49 by long department method consists of the complying with steps:

Step 1: beginning from the right, we will pair up the number by putting a bar above them.Step 2: uncover a number which, as soon as multiplied come itself, gives the product less than or same to 49. So, the number is 7. Putting the divisor as 7, we acquire the quotient together 7 and the remainder 0.Step 3: The number 49 is a perfect square.

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Explore square roots using illustrations and interactive examples

Important Notes:

The square source is the inverse procedure of squaring.49 is a perfect square together the answer derived after square root is a reasonable number.The square root of 49 can be simplified to 7 either by making use of the prime factorization of 49 or by to express 49 together a square that 7.

Challenging Questions:

We know that (-7) × (-7) =49. So, deserve to we say the -7 is a square root of 49?Can you recognize a quadratic equation whose roots are 49 and -49?