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Question : 21 of 39

Marks: +1, -0

If

\sqrt{1 + \; \frac{25}{144}} = 1 + \; \frac{x}{12},

x

is

1
2
3
None

Solution:

Concept:

Simplify the square root to solve for

x

.

Explanation:

Simplify inside the square root:

1 + \frac{25}{144} = \frac{169}{144}

.

Take square root:

\sqrt{\frac{169}{144}} = \frac{13}{12}

.

Set equal:

\frac{13}{12} = 1 + \frac{x}{12}

.

Write

1

as

\frac{12}{12}

:

\frac{13}{12} = \frac{12 + x}{12}

.

Multiply by

12

:

13 = 12 + x

, so

x = 1

.

Answer:

x = 1

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