The product of two numbers is 4046 and their quotient is 7 2 . Find the numbers.

Let x and y are two numbers. Product of two numbers = 4046 ∴ x y = 4046 ⇒ x = 4046 y ........(i) Quotient = 7 2 ∴ x y = 7 2 ⇒ 4046 y y = 7 2 (Using (i)) ⇒ 4046 y 2 = 7 2 ⇒ y 2 = 4046 × 2 7 ⇒ y 2 = 1156 ⇒ y 2 = 2 × 2 × 17 × 17 ⇒ y = 2 × 2 × 17 × 17 = 2 × 17 = 34 Put y = 34 in (i), we get x = 4046 34 = 119 Therefore, required two numbers are x = 119 and y = 34 .

The product of two numbers is 4046 and their quotient is 7 2 . Find the numbers.

Let x and y are two numbers. Product of two numbers = 4046 ∴ x y = 4046 ⇒ x = 4046 y ........(i) Quotient = 7 2 ∴ x y = 7 2 ⇒ 4046 y y = 7 2 (Using (i)) ⇒ 4046 y 2 = 7 2 ⇒ y 2 = 4046 × 2 7 ⇒ y 2 = 1156 ⇒ y 2 = 2 × 2 × 17 × 17 ⇒ y = 2 × 2 × 17 × 17 = 2 × 17 = 34 Put y = 34 in (i), we get x = 4046 34 = 119 Therefore, required two numbers are x = 119 and y = 34 .

E M B I B E

Step by Step>Chapter 3 - Squares and Square Roots>EXERCISE 3.4>Q 7

MEDIUM

8th CBSE

IMPORTANT

Earn 100

The product of two numbers is $4046$ and their quotient is $\frac{7}{2}$ . Find the numbers.

Important Questions on Squares and Square Roots

MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 3 - Squares and Square Roots>EXERCISE 3.4>Q 8

Find the smallest number by which $2925$ should be divided so as to get a perfect square. Also, find the square root of the square number so obtained.

EASY

8th CBSE

IMPORTANT

Step by Step>Chapter 3 - Squares and Square Roots>EXERCISE 3.4>Q 8

Find the least number by which

2800

should be divided to get a perfect square number. Find the number whose square is the resulting number.

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8th CBSE

IMPORTANT

Step by Step>Chapter 3 - Squares and Square Roots>EXERCISE 3.4>Q 8

Find the smallest number by which $2645$ should be divided so as to get a perfect square. Also, find the square root of the square number so obtained.

MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 3 - Squares and Square Roots>EXERCISE 3.5>Q 1

Using division method, find the square root of the following number.

$9801$

MEDIUM

8th CBSE

IMPORTANT

Step by Step>Chapter 3 - Squares and Square Roots>EXERCISE 3.5>Q 2

Find the square root of