Question

If (89)² is added to the square of number the answer to be obtained is 16202 . What is the number

Answer 1

$\huge{\underline{\underline{Question\::-}}}$

If the square of 89 is added to the square of an another number , the sum obtained is 16202 . Then what is the number ?

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♦To find the Answer we must know these concepts :-

• What is Square of a number

>> Square of a number is Product of an Integer with itself

• What do you mean by square root (√)

>> The inverse operation of squaring of a number is called square root .

♦ Let us consider the number be "x"

• Then square of the number = $x^2$

♦ According to the question

$89^2$ + $x^2$ = 16202

• Square of 89 = 7921

>> Then by using it ...

=> $89^2$ + $x^2$ = 16202

=> 7921 + $x^2$ = 16202

=> $x^2$ = 16202 - 7921

=> $x^2$ = 8281

♦ Now as we have got the value of $x^2$ , but we need to find out the value of x , For this we need use square root .

=> $x^2$ = 8281

=> x = $\sqrt{8281}$

=> x = $\sqrt{91 \times 91 }$

=> x = $\sqrt{ 91^2 }$

=> x = 91

♦ So value number ( x ) = 91