🧮 algebra

1. **State the problem:** Rationalise the denominator of $$\frac{15 + \sqrt{5}}{6\sqrt{5}}$$ and simplify the expression. 2. **Formula and rule:** To rationalise a denominator cont

1. **State the problem:** We need to find the number of rhinos at the safari park given relationships between the numbers of rhinos, chimps, and alpacas. 2. **Define variables:** L

1. **State the problem:** We are given the formula $$h\frac{a+b}{2}$$ and need to find a formula for $a$ in terms of $h$, $b$, and the expression. 2. **Rewrite the expression:** Th

1. The problem is to find the formula for a given variable $a$. 2. To find a formula for $a$, we need more context or an equation involving $a$.

1. The problem is to simplify and understand the expression $h \frac{a+b}{2}$ and the term "einangra a" which seems unclear but we focus on the algebraic expression. 2. The express

1. **State the problem:** Solve the equation $a+b+2ab=8$ for the expression $a+b$. 2. **Analyze the equation:** The equation is $a+b+2ab=8$. We want to find $a+b$ in terms of known

1. The problem is to solve the equation $5(3^{1-x}) = x$ for $x$. 2. We start by rewriting the equation:

1. **State the problem:** Express the equation $2^x + 7 = 57$ in logarithmic form. 2. **Rewrite the equation:** Subtract 7 from both sides to isolate the exponential term:

1. **Énoncé du problème :** Déterminer des bases et les dimensions des sous-espaces vectoriels $E_1$, $E_2$, et $E_1 \cap E_2$ dans $\mathbb{R}^3$ où:

1. Énoncé du problème : Résoudre la dernière question de E1. 2. Comme le message ne précise pas l'énoncé exact de la dernière question de E1, je vais expliquer comment aborder une

1. **Problem 1a:** Solve $\sqrt{49} \times \sqrt{49}$. - We use the property $\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$.

1. **Stating the problem:** We need to simplify each square root expression given in Part 4. 2. **Formula and rules:** The square root function \(\sqrt{x}\) gives the non-negative

1. Solve the squares: - $2^2 = 4$

1. **Énoncé du problème** : Déterminer des bases et les dimensions des sous-espaces vectoriels $E_1$, $E_2$, $E_1 \cap E_2$ et $E_1 + E_2$ dans $\mathbb{R}^3$ où :

1. **Problem Statement:** Calculate the square roots of the given numbers. 2. **Formula and Rules:** The square root of a number $x$ is a value $y$ such that $y^2 = x$. For positiv

1. Problem 11: Evaluate the square roots. The square root of a number $x$ is a value $y$ such that $y^2 = x$.

1. **Problem Statement:** Determine whether each rational number is a perfect square and evaluate the given square roots. 2. **Recall:** A perfect square is a number that can be ex

1. The problem is to evaluate the expression $1 - 4(1 - 4)$. 2. According to the order of operations (PEMDAS/BODMAS), we first solve the expression inside the parentheses.

1. The problem asks if the expression $1-4(1-4)$ equals 13. 2. First, apply the order of operations: parentheses, then multiplication, then subtraction.

1. **Stating the problem:** Simplify the expression $$74 - \{6 + (-16) - (-16) + 25\}$$ step by step. 2. **Recall important rules:**

1. The problem is to solve the equation $1o = \frac{4x}{3}$ for $x$. 2. First, clarify the equation: it seems "1o" might be a typo for "10". So the equation is $10 = \frac{4x}{3}$.