Chapter 10: Q39. (page 658)

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

$\sqrt{a + 4} = 6 \sqrt{32 + 4} \underline{\underline{?}} 6 \sqrt{36} \underline{\underline{?}} 6 6 = 6$

Therefore, $a = 32$ 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:

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

Step 2. Solve the given equation.

The solution of the given equation is:

$a + 4 = 36 a = 36 - 4 a = 32$

Therefore, the value a is 32.

Step 3. Check the solution.

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

$\sqrt{a + 4} = 6 \sqrt{32 + 4} \underline{\underline{?}} 6 \sqrt{36} \underline{\underline{?}} 6 6 = 6$

Therefore, $a = 32$ 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

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Decision Maths

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

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