If the expression X x 809436 x 809436 be a perfect square, then find the value of x.

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If (46)² is subtracted from the square of a number, then answer so obtained is 485. What is the number?

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Find the least number, which is a perfect square and has 7936 as one of its factors.

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The area of a rectangular field whose length is twice its breadth, is 2450 m². Find the perimeter of the field.

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Find the least number that must be added to 1500. so as to get a perfect square. Also, find the square root of the perfect square.

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Find the square root of 324 by the method of repeated subtraction.

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The perimeters of two squares are 40 m and 96 m, respectively. Find the perimeter of another square, equal in area to the sum of the first two squares.

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The area of a square plot is 101\(\frac { 1 }{ 100 } \)m². Find the length of one side of the plot.

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In a right angled \(\Delta\) ABC, if  \(\angle\)B=90°, AB=12 cm and BC=5 cm, then find AC.

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Complete the following crossword puzzle using the given direction.

Direction:
Across:
(1) The product of number by itself two times, is called its _______
(2) If three numbers a, band c are such that a² + b²= c² then they are called _____ Triplets.
(3) A number is a when it is a product of the same two numbers.
Down: (4) The numbers 2n, n²-1 and n² + 1 where n is a natural number show Pythagorean______.
(5) Finding is the inverse operation of squaring a number.
(6) A number which divides a _______ given number exactly is called a or divisor of that number.

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