Question

A positive number exceed its positive square root by 30. Find the number.

• A. 16
• B. 36
• C. 25
• D. 49

Answer 1

Answer:

B. 36

Positive Square Exceeds its Square root by 30.

$X=\sqrt{X}+30$

$X-30=\sqrt{X}$

Squaring on both the sides we get,

$(X-30)^2=X$

$X^2-60X+900=X$

$X^2-36X-25X+900=0$

$X=36,25$

$$Only X=36 satisfy</p><p style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px" data-pxy="true">$$So answer is 36.