Question - Solving Inequality with Square Roots
Solution:
The image shows an inequality with two blank boxes and the square root of 136 in the center. To solve this, we need to find two square numbers that the square root of 136 falls between.Let's identify the nearest perfect squares around 136. Since $$ 11^2 = 121 $$ and $$ 12^2 = 144 $$, we can see that 136 falls between these two squares.So, the square root of 136 is more than 11 but less than 12:$$ 11 < \sqrt{136} < 12 $$Hence, the numbers that should be in the blank boxes are 11 and 12, read from left to right:\[ 11 < \sqrt{136} < 12 \]
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