Ravi Kant Kumar

Show That \( \dfrac{1}{\sqrt{2}} \) Is Irrational Video Explanation Question Show that \[ \dfrac{1}{\sqrt{2}} \] is an irrational number. Solution Step 1: Assume the Contrary Assume that \[ \dfrac{1}{\sqrt{2}} \] is a rational number. Step 2: Use Property of Rational Numbers If a number is rational, then its reciprocal is also rational (provided it is […]

Show That the Following Numbers Are Irrational Video Explanation Question Show that the following numbers are irrational: (i) \( \dfrac{1}{\sqrt{2}} \) (ii) \( 7\sqrt{5} \) (iii) \( 6 + \sqrt{2} \) (iv) \( 3 – \sqrt{5} \) Solution (i) \( \dfrac{1}{\sqrt{2}} \) We know that \( \sqrt{2} \) is irrational. If \( \dfrac{1}{\sqrt{2}} \) were

Find the Largest Number Which Divides 1251, 9377 and 15628 Leaving Remainders 1, 2 and 3 Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Find the largest number which on dividing 1251, 9377 and 15628 leaves remainders 1, 2 and 3 respectively. Step 1: Subtract the Given

Minimum Distance to Be Walked in Complete Steps by Three Persons Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: On a morning walk, three persons step out together and their steps measure 30 cm, 36 cm and 40 cm respectively. What is the minimum distance each should

Minimum Distance to Be Walked in Complete Steps by Three Persons Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: In a morning walk, three persons step off together, their steps measuring 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk

When Will Three Cyclists Meet Again on a Circular Field? Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: A circular field has a circumference of 360 km. Three cyclists start together and can cycle 48 km, 60 km and 72 km a day around the field. When

Find the Least Number Divisible by All Numbers from 1 to 10 Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive). Step 1: Identify the Mathematical Concept The least number divisible

Find the Number Nearest to 110000 and Greater than 100000 Exactly Divisible by 8, 15 and 21 Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Determine the number nearest to 110000 but greater than 100000, which is exactly divisible by each of 8, 15 and 21. Step

Find the Greatest 6 Digit Number Exactly Divisible by 24, 15 and 36 Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. Step 1: Find the LCM of 24, 15 and 36 Prime factorisation:

Least Number of Square Tiles Required to Pave a Rectangular Courtyard Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find