The product of two positive numbers is 16 50 and their quotient is 1 2 , let's find the numbers.

Given: The product of two positive numbers is 16 50 and their quotient is 1 2 . Let a and b be the two numbers. ⇒ a × b = 16 50 . . . i and a b = 1 2 ⇒ a = b 2 . . . ii Substitute a = b 2 in i ⇒ b 2 × b = 16 50 ⇒ b 2 = 2 16 50 ⇒ b 2 = 16 25 ⇒ b = 4 5 Now, Substitute the value of b = 4 5 in ii ⇒ a = 4 5 2 ⇒ a = 4 5 × 1 2 ⇒ a = 2 5 Therefore, The two numbers are 2 5 and 4 5 .

1 4 + 1 9 - 1 16 - 1 25 - let's find the value.

To find: 1 4 + 1 9 - 1 16 - 1 25 = 1 2 2 2 + 1 2 3 2 - 1 2 4 2 - 1 2 5 2 = 1 2 2 + 1 3 2 - 1 4 2 - 1 5 2 = 1 2 + 1 3 - 1 4 - 1 5 = 30 + 20 - 15 - 12 60 = 23 60 Therefore, 1 4 + 1 9 - 1 16 - 1 25 = 23 60

Let's find the square root of the fraction 3 22 49 .

To find the square root of the fraction 3 22 49 . First convert the given mixed fraction to improper fraction. ⇒ 3 22 49 = 49 3 + 22 49 = 169 49 Now, Find the square root of 169 49 ⇒ 169 49 = 13 2 7 2 = 13 7 2 = 13 7 Therefore, Square root of 3 22 49 is 13 7 .

Let's find the square root of the fraction 57 256 .

To find the square root of the fraction 57 256 . ⇒ 57 256 = 57 16 2 = 57 16 2 = 57 16 Therefore, Square root of 57 256 is 57 16 .

Let's find the square root of the fraction 1089 2025 .

To find the square root of the fraction 1089 2025 . ⇒ 1089 2025 = 33 2 45 2 = 33 45 2 = 33 45 Therefore, Square root of 1089 2025 is 33 45 .

Let's find the square root of the fraction 3 814 1225 .

To find the square root of the fraction 3 814 1225 . First convert the given mixed fraction to improper fraction. ⇒ 3 814 1225 = 1225 3 + 814 1225 = 4489 1225 Now, Find the square root of 4489 1225 ⇒ 4489 1225 = 67 2 35 2 = 67 35 2 = 67 35 Therefore, Square root of 3 814 1225 is 67 35 .

E M B I B E

GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 7>Chapter 11 - Square Root of Fractions>Let's workout

West Bengal Board Solutions for Chapter: Square Root of Fractions, Exercise 6: Let's workout

Author:West Bengal Board

West Bengal Board Mathematics Solutions for Exercise - West Bengal Board Solutions for Chapter: Square Root of Fractions, Exercise 6: Let's workout

Attempt the practice questions on Chapter 11: Square Root of Fractions, Exercise 6: Let's workout with hints and solutions to strengthen your understanding. GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 7 solutions are prepared by Experienced Embibe Experts.

Questions from West Bengal Board Solutions for Chapter: Square Root of Fractions, Exercise 6: Let's workout with Hints & Solutions

HARD

7th West Bengal Board

IMPORTANT

GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 7>Chapter 11 - Square Root of Fractions>Let's workout>Q 10

The product of two positive numbers is $\frac{16}{50}$ and their quotient is $\frac{1}{2}$ , let's find the numbers.

MEDIUM

7th West Bengal Board

IMPORTANT

GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 7>Chapter 11 - Square Root of Fractions>Let's workout>Q 12

$\sqrt{\frac{1}{4}} + \sqrt{\frac{1}{9}} - \sqrt{\frac{1}{16}} - \sqrt{\frac{1}{25}}$ - let's find the value.

MEDIUM

7th West Bengal Board

IMPORTANT

GANITPRABHA (MATHEMATICS TEXT BOOK) CLASS 7>Chapter 11 - Square Root of Fractions>Let's workout>Q 13

Arrange the following in the descending order of their magnitude $\sqrt{\frac{1}{16}}, \sqrt{\frac{1}{25}}, \sqrt{\frac{1}{36}}, \sqrt{\frac{1}{49}}$ .