Chapter 11: Q39. (page 729)

Solve each equation. Check your solution.
$\sqrt{a + 4} = 6$

Short Answer

Expert verified

The solution of the given equation is $a = 32$ .

Check:

Substitute 32 for in the given equation $\sqrt{a + 4} = 6$ .

$\begin{array}{l} \sqrt{a + 4} = 6 \\ \sqrt{32 + 4} \underline{\underline{?}} 6 \\ \sqrt{36} \underline{\underline{?}} 6 \\ 6 = 6 \end{array}$

Therefore, is the solution of the given equation $\sqrt{a + 4} = 6$ .

Step by step solution

Step 1. Rewrite the given equation.

The given equation can be written as:

$\begin{array}{l} \sqrt{a + 4} = 6 \\ {(\sqrt{a + 4})}^{2} = 6^{2} (squaringbothsides) \\ a + 4 = 36 \end{array}$

Step 2. Solve the given equation.

The solution of the given equation is:

$\begin{array}{l} a + 4 = 36 \\ a = 36 - 4 \\ a = 32 \end{array}$

Therefore, the value $a$ is 32.

Step 3. Check the solution.

Substitute 32 for in the given equation $\sqrt{a + 4} = 6$ .

$\begin{array}{l} \sqrt{a + 4} = 6 \\ \sqrt{32 + 4} \underline{\underline{?}} 6 \\ \sqrt{36} \underline{\underline{?}} 6 \\ 6 = 6 \end{array}$

Therefore, is the solution of the given equation $\sqrt{a + 4} = 6$ .

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Solve each equation. Check your solution.
$\sqrt{a + 4} = 6$

Short Answer

Step by step solution

Step 1. Rewrite the given equation.

Step 2. Solve the given equation.

Step 3. Check the solution.

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Solve each equation. Check your solution.a+4=6

Short Answer

Step by step solution

Step 1. Rewrite the given equation.

Step 2. Solve the given equation.

Step 3. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Logic and Functions

Applied Mathematics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$\sqrt{a + 4} = 6$