Question

How to calculate the square root of 30 in mixed fraction by using graph paper

Answer 1

Answer:

Step I: Obtain the fraction

Step II: If the given square root of the numerator and the denominator are the square roots of numerator and denominator respectively of the given fraction.

Step III: Find the square root of the numerator and denominator separately.

Step IV: Obtain the fraction whose numerator and denominator are the square roots of numerator and denominator respectively of the given fraction.

Step V: The fraction obtained in Step IV is the square root of the given fraction.

Examples on square root of rational numbers

1) Find the square root of rational numbers 256/441.

Solution :

We have, √(256/441) = √(256)/√(441)

First find the square roots of 256 and 441 separately using prime factorization method.

256 = 2 x 128

= 2 x 2 x 64

= 2 x 2 x 2 x 32

= 2 x 2 x 2 x 2 x 16

= 2 x 2 x 2 x 2 x 2 x 8

= 2 x 2 x 2 x 2 x 2 x 2 x 4

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

∴ √256 = √(2 x 2 x 2 x 2 x 2 x 2 x 2 x 2)

∴ √256 = 16

Now, find the square root of 441,

441 = 3 x 147

= 3 x 3 x 49

= 3 x 3 x 7 x 7

∴ √441 = √(3 x 3 x 7 x 7)

Step-by-step explanation:

hopes it helps give a like

MARK AS BRAINLIEST

Answer 2

Answer:

Square Root of Rational Numbers

Square root of rational numbers in the form of fractions

Step I: Obtain the fraction

Step II: If the given square root of the numerator and the denominator are the square roots of numerator and denominator respectively of the given fraction.

Step III: Find the square root of the numerator and denominator separately.

Step IV: Obtain the fraction whose numerator and denominator are the square roots of numerator and denominator respectively of the given fraction.

Step V: The fraction obtained in Step IV is the square root of the given fraction.