Question

If √x^2-36 = 8,then find the value of x (it is in whole root).

Answer 1

√{x²-36}=8

Squaring both sides,

x²-36=64
x²=100
x=±10

Answer 2

Answer:  

Th value of x is found out to be 10 or -10

To find:

Value of x (which is in whole root) = ?

Solution:

Given expression is,

$\begin{array} { l } { \sqrt { x ^ { 2 } - 36 } = 8 } \\\\ { x ^ { 2 } - 36 = ( 8 ) ^ { 2 } } \\\\ { x ^ { 2 } - 36 = 64 } \\\\ { x ^ { 2 } = 64 + 36 } \\\\ { x ^ { 2 } = 100 } \\\\ { x = \sqrt { 100 } } \end{array}$

x = ± 10

x = +10 or -10

Hence , the value of x in the whole root is 10 or -10 .